-2(w+2)=7w-31

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Solution for -2(w+2)=7w-31 equation:


Simplifying
-2(w + 2) = 7w + -31

Reorder the terms:
-2(2 + w) = 7w + -31
(2 * -2 + w * -2) = 7w + -31
(-4 + -2w) = 7w + -31

Reorder the terms:
-4 + -2w = -31 + 7w

Solving
-4 + -2w = -31 + 7w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-7w' to each side of the equation.
-4 + -2w + -7w = -31 + 7w + -7w

Combine like terms: -2w + -7w = -9w
-4 + -9w = -31 + 7w + -7w

Combine like terms: 7w + -7w = 0
-4 + -9w = -31 + 0
-4 + -9w = -31

Add '4' to each side of the equation.
-4 + 4 + -9w = -31 + 4

Combine like terms: -4 + 4 = 0
0 + -9w = -31 + 4
-9w = -31 + 4

Combine like terms: -31 + 4 = -27
-9w = -27

Divide each side by '-9'.
w = 3

Simplifying
w = 3

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