1) 3x = 45 + 15 = 60

x = 60 : 3 = 20

2) 5x = 50 - 35 = 15

x = 15 : 5 = 3

3) (2x - 5) + 17 = 6

2x - 5 = 6 - 17

2x - 5 = -11

2x = -11 + 5

2x = -6

x = -6 : 2 = -3

4) 10 - 2(4 -3x) = -4

2(4 - 3x) = -4 - 10 = -14

4 - 3x = -14 : 2 = -7

3x = -7 - 4 = -18

x = -18 : 3 = -6

\(\left\{{}\begin{matrix}\left\{{}\begin{matrix}3x-15=45\Leftrightarrow3x=60\Leftrightarrow x=20\\35-5x=50\Leftrightarrow5x=-15\Leftrightarrow x=-3\end{matrix}\right.\\\left\{{}\begin{matrix}\left(2x-5\right)+17=6\Leftrightarrow2x+5=-11\Leftrightarrow2x=-16\Leftrightarrow x=-8\\10-2\left(4-3x\right)=-4\Leftrightarrow8-6x=14\Leftrightarrow6x=-6\Leftrightarrow x=-1\end{matrix}\right.\\\left\{{}\begin{matrix}-12+3\left(-x+7\right)=-18\Leftrightarrow-3x+21=-6\Leftrightarrow-3x=-27\Leftrightarrow x=9\\24:\left(3x-2\right)=-3\Leftrightarrow3x-2=-8\Leftrightarrow3x=-6\Leftrightarrow x=-2\end{matrix}\right.\\-45:5\left(-3-2x\right)=3\Leftrightarrow-15-10x=-15\Leftrightarrow10x=0\Leftrightarrow x=0\end{matrix}\right.\)

SỬA:

\(\left(2x-5\right)+17=6\Leftrightarrow2x-5=-11\Leftrightarrow2x=-6\Leftrightarrow x=-3\)

1: 3x-15=45

=>\(3x=45+15=60\)

=>\(x=\frac{60}{3}=20\)

2: 35-5x=50

=>5x=35-50=-15

=>\(x=-\frac{15}{5}=-3\)

3: (2x-5)+17=6

=>2x-5+17=6

=>2x+12=6

=>2x=6-12=-6

=>x=-3

4: 10-2(4-3x)=-4

=>10-8+6x=-4

=>6x+2=-4

=>6x=-6

=>x=-1

5: -12+3(-x+7)=-18

=>3(-x+7)=-18+12=-6

=>-x+7=-2

=>-x=-2-7=-9

=>x=9

6: 24:(3x-2)=-3

=>3x-2=-24:3=-8

=>3x=-6

=>x=-2

7: \(-45:5\cdot\left(-3-2x\right)=3\)

=>-9(-3-2x)=3

=>9(2x+3)=3

=>\(2x+3=\frac13\)

=>\(2x=\frac13-3=-\frac83\)

=>\(x=-\frac83:2=-\frac43\)

a, ta có : X*20=5*(-12)

             20X=-60

             X=-60/20

             X=-3

a, \(\frac{x}{5}=\frac{-12}{20}\)

\(x=\frac{5.\left(-20\right)}{20}\)

\(x=-5\)

b, 3x - 35 = -45 - 2x

3x + 2x = -45 + 35

5x = -10

x = (-10) : 5

x = -2

c, \(\frac{-1}{6}-x=\frac{5}{12}+\frac{-2}{3}\)

\(\frac{-1}{6}-x=\frac{-1}{4}\)

\(-x=\frac{-1}{6}-\frac{-1}{4}\)

\(-x=\frac{1}{12}\)

\(x=\frac{-1}{12}\)

(x+3).(2x-18)=0

=>x+3=0 hoặc 2x-18 =0

+)x+3=0

x=-3

+)2x-18=0

2x =18

x =9

Vậy x \(\in\)\(_{\left\{-3;9\right\}}\)

2x+35=x-27

2x-x =-35-27

x = -62

Mình trả lời hai câu đầu trước nha!

1)

x= -6+2

x= -4

2)

=-5 x = 13 + (-3)

= -5 .x =10

x = 10 ÷ -5

x = -2

a: (x-35)-120=0

=>x-35=120

=>x=120+35=155

b: 59(x-29)=0

=>x-29=0

=>x=29

c: 2x+3x=45:3

=>5x=15

=>x=3

`@` `\text {Ans}`

`\downarrow`

`(x - 35) - 120 = 0`

`x - 35 = 0 + 120`

`x - 35 = 120`

`x = 120+ 35`

`x = 155`

Vậy, `x = 155`

____

`(x - 29)*59 = 0`

`x - 29 = 0 \div 59`

`x - 29 = 0`

`x = 0 + 29`

`x = 29`

Vậy, `x= 29`

____

`2x + 3x = 45 \div 3`

`(2 + 3)x = 15`

`5x = 15`

`x = 15 \div 5`

`x = 3`

Vậy, `x = 3.`

\(a.2x+35=x-27\)

\(\Leftrightarrow2x-x=-27-35\)

\(\Rightarrow x=-62\). Vậy \(x=-62\)

\(b.2x-41=3x+\left(-23\right)\)

\(\Leftrightarrow2x-3x=-23+41\)

\(\Leftrightarrow-x=18\)

\(\Rightarrow x=-18\). Vậy \(x=-18\)

\(c.4\left(x-3\right)-3\left(x+5\right)=45.\left(-2\right)-34\)

\(\Leftrightarrow4x-12-3x-15=-124\)

\(\Leftrightarrow4x-3x=-124+12+15\)

\(\Rightarrow x=-97\). Vậy \(x=-97\)

\(d.\left(x+3\right)\left(2x-18\right)=0\)

\(\Leftrightarrow\hept{\begin{cases}x+3=0\\2x-18=0\end{cases}\Rightarrow\hept{\begin{cases}x=-3\\x=9\end{cases}}}\). Vậy \(x=-3;9\)

a: \(280-\left(x-140\right):35=270\)

=>(x-140):35=280-270=10

=>x-140=350

=>x=350+140

=>x=490

b: \(\left(190-2x\right):35-32=16\)

=>\(\left(190-2x\right):35=32+16=48\)

=>\(190-2x=35\cdot48=1680\)

=>2x=190-1680=-1490

=>x=-745

c: \(720:\left\lbrack41-\left(2x-5\right)\right\rbrack=2^3\cdot5\)

=>\(720:\left\lbrack41-\left(2x-5\right)\right\rbrack=8\cdot5=40\)

=>41-(2x-5)=720:40=18

=>2x-5=41-18=23

=>2x=28

=>x=14

d: \(\left(x:23+45\right)\cdot37-22=2^4\cdot105\)

=>\(\left(\frac{x}{23}+45\right)\cdot37=16\cdot105+22=1702\)

=>\(\frac{x}{23}+45=46\)

=>\(\frac{x}{23}=1\)

=>x=23

e: \(\left(3x-4\right)\left(x-1\right)^3=0\)

=>\(\left[\begin{array}{l}3x-4=0\\ x-1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac43\\ x=1\end{array}\right.\)

f: \(2^{2x-1}:4=8^3\)

=>\(2^{2x-1-2}=2^9\)

=>2x-3=9

=>2x=12

=>x=6

g: \(x^{17}=x\)

=>\(x^{17}-x=0\)

=>\(x\left(x^{16}-1\right)=0\)

=>\(\left[\begin{array}{l}x=0\\ x^{16}-1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=0\\ x^{16}=1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=0\\ x=1\\ x=-1\end{array}\right.\)

h: \(\left(x-5\right)^4=\left(x-5\right)^6\)

=>\(\left(x-5\right)^6-\left(x-5\right)^4=0\)

=>\(\left(x-5\right)^4\cdot\left\lbrack\left(x-5\right)^2-1\right\rbrack=0\)

=>\(\left(x-5\right)^4\cdot\left(x-4\right)\left(x-6\right)=0\)

=>x∈{4;5;6}

i: \(\left(x+2\right)^5=2^{10}\)

=>\(\left(x+2\right)^5=\left(2^2\right)^5=4^5\)

=>x+2=4

=>x=2

k: 1+2+3+...+x=78

=>\(\frac{x\left(x+1\right)}{2}=78\)

=>x(x+1)=156

=>\(x^2+x-156=0\)

=>(x+13)(x-12)=0

=>x=-13(loại) hoặc x=12(nhận)

l: \(\left(3x-2^4\right)\cdot7^3=2\cdot7^4\)

=>\(3x-16=2\cdot\frac{7^4}{7^3}=2\cdot7=14\)

=>3x=16+14=30

=>\(x=\frac{30}{3}=10\)

n: \(5^{x}:5^2=125\)

=>\(5^{x-2}=5^3\)

=>x-2=3

=>x=5

m: \(\left(x+1\right)^2=\left(x+1\right)^0\)

=>\(\left(x+1\right)^2=1\)

=>\(\left[\begin{array}{l}x+1=1\\ x+1=-1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=0\\ x=-2\end{array}\right.\)

o: Số số hạng của dãy số 2;4;..;52 là:

(52-2):2+1=50:2+1=25+1=26(số)

Tổng của dãy số 2;4;...;52 là:

\(\left(52+2\right)\cdot\frac{26}{2}=54\cdot13=702\)

(2+x)+(4+x)+...+(52+x)=780

=>26x+702=780

=>26x=78

=>x=3

p: \(70=2\cdot5\cdot7;80=2^4\cdot5\)

=>ƯCLN(70;80)=\(2\cdot5=10\)

70⋮x; 80⋮x

=>x∈ƯC(70;80)

=>x∈Ư(10)

mà x>8

nên x=10

q: \(12=2^2\cdot3;25=5^2;30=2\cdot3\cdot5\)

=>BCNN(12;25;30)=\(2^2\cdot3\cdot5^2=300\)

x⋮12; x⋮25; x⋮30

=>x∈BC(12;25;30)

=>x∈B(300)

mà 0<x<500

nên x=300