1) -x - 3 = 7

-x = 7 + 3

-x = 10

x = -10

2) x + 5 = -10

x = -10 - 5

x = -15

3) 2x - 7 = 713

2x = 713 + 7

2x = 720

x = 720 : 2

x = 360

4) -129 - (35 - x) = 55

35 - x = -129 - 55

35 - x = -184

x = 35 - (-184)

x = 219

5) 103 - x = 16 - (13 - 8)

103 - x = 16 - 5

103 - x = 11

x = 103 - 11

x = 192

\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}\)

\(=\dfrac{1}{182}\)

đúng nè

...=-15-9=-24

...=4+7=11

...=-12-13=-25

...=13+10=23

...=-4-7=-11

...=-9+13=4

...=12+0=12

...=0-7=-7

...=0+3=3

...=15-17=-2

...=-6

...=-23

...=15-15=0

-15-(+9) = -24

4-(-7) = 11

-12+(-13) = -25

-(-13)-(-10) = 23

-4-(+7) = -11

(-9)-(-13) = 4

-(-12)+0 = 12

0-(+7) = -7

0-(-3) = 3

15-17 = -2

-18+12 = -6

-5-18 = -23

-(-15)+(-15) = 0

(3/8+-3/4+7/12):5/6+1/2
= 5/24:5/6+1/2

= 1/4 + 1/2

=3/4

=5/24 : 5/6 +1/2

=1/4 + 1/2

= 3/4

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

=>-12x+60+21-7x=5

=>-19x+81=5

=>-19x=5-81=-76

=>\(x=\frac{-76}{-19}=4\)

a) \(2^3.3^2=8.9=72\)

b) \(5^{10}:5^7=5^2=25\)

c) \(2^6:2=2^5=32\)

d) \(7^4:7^4=7^0=1\)

e) \(9^5:9^5=9^0=1\)

a) 23.32=8.9=7223.32=8.9=72

b) 510:57=52=25510:57=52=25

c) 5

32

d) $1$

e) $1$

d: \(\frac{4}{\sqrt7-\sqrt3}+\frac{6}{3+\sqrt3}+\frac{\sqrt7-7}{\sqrt7-1}\)

\(=\frac{4\left(\sqrt7+\sqrt3\right)}{7-3}+\frac{6\left(3-\sqrt3\right)}{\left(3+\sqrt3\right)\left(3-\sqrt3\right)}-\frac{\sqrt7\left(\sqrt7-1\right)}{\sqrt7-1}\)

\(=\sqrt7+\sqrt3+3-\sqrt3-\sqrt7=3\)

e: Đặt \(A=\sqrt{4+\sqrt{10+2\sqrt5}}+\sqrt{4-\sqrt{10+2\sqrt5}}\)

=>\(A^2=4+\sqrt{10+2\sqrt5}+4-\sqrt{10+2\sqrt5}+2\cdot\sqrt{\left(4+\sqrt{10+2\sqrt5}\right)\left(4-\sqrt{10+2\sqrt5}\right)}\)

=>\(A^2=8+2\cdot\sqrt{16-10-2\sqrt5}=8+2\cdot\sqrt{6-2\sqrt5}\)

=>\(A^2=8+2\cdot\left(\sqrt5-1\right)=6+2\sqrt5=\left(\sqrt5+1\right)^2\)

=>\(A=\sqrt5+1\)

=2/5(-3/7-5/14)-18/35

=2/5x(-11/14)-18/35

=-22/70-18/35=-29/35

-3/7 . 2/5 + 2/5 . (-5/14) - 18/35

= 2/5 . [ -3/7 + (-5/14) ] - 18/35

= 2/5 . [ -6/14 + (-5/14) ] - 18/35

= 2/5 . -11/14 - 18/35

= -11/35 - 18/35

= -29/35.

\(\dfrac{3}{5}\times\dfrac{2}{7}-\dfrac{3}{5}\times\dfrac{4}{7} +\dfrac{3}{5}\)

\(=\dfrac{3}{5}\times\left(1+\dfrac{2}{7}-\dfrac{4}{7}\right)\)

\(=\dfrac{3}{5}\times\left(\dfrac{7}{7}+\dfrac{2}{7}-\dfrac{4}{7}\right)\)

\(=\dfrac{3}{5}\times\left(\dfrac{7+2-4}{7}\right)\)

\(=\dfrac{3}{5}\times\dfrac{5}{7}\)

\(=\dfrac{3}{7}\)

= 3/5 x 2/7 - 3/5 x 4/7 + 3/5 x 1

= 3/5 x ( 2/7 + 4/7 + 1 )

= 3/5 x 1

= 3/5