a, 2^x + 2^x+1 + 2^x+2 + 2^x+3 = 480

=> 2^x + 2^x.2 + 2^x.2² + 2^x.2³ = 480

=> 2^x.(1 + 2 + 2² + 2³) = 480

=> 2^x.15 = 480

=> 2^x = 480 : 15

=> 2^x = 32 = 2⁵

=> x = 5

b, |7 - x| = -13 - 5.(-8)

|7 - x| = 27

\(\Rightarrow\hept{\begin{cases}7-x=27\\-7+x=27\end{cases}}\Rightarrow\hept{\begin{cases}x=-20\\x=34\end{cases}}\)

Đề là j zậy bn

tính

a)\(\frac{-7}{25}.\frac{11}{13}+\frac{-7}{25}.\frac{2}{13}-\frac{18}{25}\)

\(=\frac{-7}{25}.\left(\frac{11}{13}+\frac{2}{13}\right)-\frac{18}{25}\)

\(=\frac{-7}{25}.1-\frac{18}{25}\)

\(=-\frac{7}{25}-\frac{18}{25}\)

\(=-1\)

b)\(\frac{5}{7}.\frac{1}{3}-\frac{5}{7}.\frac{1}{4}-\frac{5}{7}.\frac{1}{12}\)

\(=\frac{5}{7}.\left(\frac{1}{3}-\frac{1}{4}-\frac{1}{12}\right)\)

\(=\frac{5}{7}.\left(\frac{4}{12}-\frac{3}{12}-\frac{1}{12}\right)\)

\(=\frac{5}{7}.0\)

\(=0\)

Bài 2:

- \(\frac75\) + \(x\) = - \(\frac34\)

\(x\) = - \(\frac34+\frac75\)

\(x=-\frac{15}{20}\) + \(\frac{28}{20}\)

\(x\) = \(\frac{13}{20}\)

Vậy \(x=\frac{13}{20}\)

Bài 3:

- \(\frac74\) + \(\frac14:x\) = \(\frac32\)

\(\frac14:x\) = \(\frac32+\frac74\)

\(\frac14:x\) = \(\frac64+\frac74\)

\(\frac14:x=\frac{13}{4}\)

\(x=\frac14:\frac{13}{4}\)

\(x=\frac14\times\frac{4}{13}\)

\(x=\frac{1}{13}\)

Vậy \(x=\frac{1}{13}\)

Câu a:

1 + {-2 - [-3 + (-4 + |x|)]} = 1 - 2 + [(-3 - 4)]

1 + {-2 -[-3 - 4 + |x|]} = 1 - 2 + [-7]

1 + {-2 - [- 7 + |x|]} = 1 - 2 - 7

1 + {- 2 + 7 - |x|} = - 1 - 7

1 + {5 - |x|} = - 8

5 - |x| = - 8 - 1

5 - |x| = - 9

|x| = 5 + 9

|x| = 14

x = - 14 hoặc x = 14

Vậy x ∈ {-14; 14}

Câu b:

34 + (9 - 21) = 3417 - (x + 3417)

34 + (-12) = 3417 - x - 3417

34 - 12 = 3417 - 3417 - x

22 = - x

x = 22 : (-1)

x = - 22

Vậy x = - 22

d, 32%-0,25:x=-3/2/5

0,32-0,25:x=-3,4

-0,25:x=-3,4-0,32

-0,25:x=-3,72

x=-0,25:-3,72

x=25/372

7/8+4/1/2:x=-13/40

0,875+4,5:x=-0,325

4,5:x=-0,325-0,875

4,5:x=-1,2

x=4,5:-1,2

x=-3,75

a, x=\(\frac{7}{30}\)

\(a,\left(19x+2.5^2\right):14=\left(13-8\right)^2-4^2\)

\(\Leftrightarrow\left(19x+50\right):14=5^2-4^2\)

\(\Leftrightarrow\left(19x+50\right):14=9\)

\(\Leftrightarrow19x+50=126\)

\(\Leftrightarrow19x=76\Leftrightarrow x=4\)

b) x + ( x + 1 ) + ( x + 2 ) + ... + ( x + 30 ) = 1240

x + x + 1 + x + 2 + ... + x + 30 = 1240

( x + x + ... + x ) + ( 1 + 2 + ... + 30 ) = 1240

Số số hạng là : ( 30 - 1 ) : 1 + 1 = 30 ( số )

Tổng là : ( 30 + 1 ) . 30 : 2 = 465

=> 31x + 465 = 1240

=> 31x = 775

=> x = 25

Vậy........