What is the answer to (w+3)/7 =(w-1)/8 ?

The answer to (w+3)/7 =(w-1)/8 is w=-31

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(w+3)/7 =(w-1)/8

\frac{w + 3}{7} = \frac{w - 1}{8}

w = - 31

Solution steps

\frac{w + 3}{7} = \frac{w - 1}{8}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(w + 3) \cdot 8 = 7 (w - 1)

Expand

(w + 3) \cdot 8 : 8 w + 24

Expand

7 (w - 1) : 7 w - 7

8 w + 24 = 7 w - 7

Move

24

to the right side

8 w = 7 w - 31

Move

7 w

to the left side

w = - 31

5 x - 12 = 2 x + 6

6 c + 4 = - 2

- (2 x + 3) = 3 (2 x - 3)

2 - m - 1 = 0

- 3 x + 1 = 5 x - 7

What is the answer to (w+3)/7 =(w-1)/8 ?
The answer to (w+3)/7 =(w-1)/8 is w=-31
Solve for w: (w+3)/7 =(w-1)/8
The solution is w=-31