-4(2x-16)=-4(x+13)-12

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Solution for -4(2x-16)=-4(x+13)-12 equation:


Simplifying
-4(2x + -16) = -4(x + 13) + -12

Reorder the terms:
-4(-16 + 2x) = -4(x + 13) + -12
(-16 * -4 + 2x * -4) = -4(x + 13) + -12
(64 + -8x) = -4(x + 13) + -12

Reorder the terms:
64 + -8x = -4(13 + x) + -12
64 + -8x = (13 * -4 + x * -4) + -12
64 + -8x = (-52 + -4x) + -12

Reorder the terms:
64 + -8x = -52 + -12 + -4x

Combine like terms: -52 + -12 = -64
64 + -8x = -64 + -4x

Solving
64 + -8x = -64 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
64 + -8x + 4x = -64 + -4x + 4x

Combine like terms: -8x + 4x = -4x
64 + -4x = -64 + -4x + 4x

Combine like terms: -4x + 4x = 0
64 + -4x = -64 + 0
64 + -4x = -64

Add '-64' to each side of the equation.
64 + -64 + -4x = -64 + -64

Combine like terms: 64 + -64 = 0
0 + -4x = -64 + -64
-4x = -64 + -64

Combine like terms: -64 + -64 = -128
-4x = -128

Divide each side by '-4'.
x = 32

Simplifying
x = 32

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