-4(x-4)-31=-7

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Solution for -4(x-4)-31=-7 equation: 


Simplifying
-4(x + -4) + -31 = -7

Reorder the terms:
-4(-4 + x) + -31 = -7
(-4 * -4 + x * -4) + -31 = -7
(16 + -4x) + -31 = -7

Reorder the terms:
16 + -31 + -4x = -7

Combine like terms: 16 + -31 = -15
-15 + -4x = -7

Solving
-15 + -4x = -7

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + -4x = -7 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = -7 + 15
-4x = -7 + 15

Combine like terms: -7 + 15 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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