What is the answer to (x-7)/7 =(2x-2)/8 ?

The answer to (x-7)/7 =(2x-2)/8 is x=-7

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(x-7)/7 =(2x-2)/8

\frac{x - 7}{7} = \frac{2 x - 2}{8}

x = - 7

Solution steps

\frac{x - 7}{7} = \frac{2 x - 2}{8}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x - 7) \cdot 8 = 7 (2 x - 2)

Expand

(x - 7) \cdot 8 : 8 x - 56

Expand

7 (2 x - 2) : 14 x - 14

8 x - 56 = 14 x - 14

Move

56

to the right side

8 x = 14 x + 42

Move

14 x

to the left side

- 6 x = 42

Divide both sides by

- 6

x = - 7

x = 2^{3}

x, x + y + z = 9

6 x + 30 = - 6

x, 21 x + 7 y = 42

2 x + 8 = 7 x - 37

What is the answer to (x-7)/7 =(2x-2)/8 ?
The answer to (x-7)/7 =(2x-2)/8 is x=-7
Solve for x: (x-7)/7 =(2x-2)/8
The solution is x=-7