4(x-4)-16=2(x-8)+8

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Solution for 4(x-4)-16=2(x-8)+8 equation: 


Simplifying
4(x + -4) + -16 = 2(x + -8) + 8

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

Reorder the terms:
-16 + -16 + 4x = 2(x + -8) + 8

Combine like terms: -16 + -16 = -32
-32 + 4x = 2(x + -8) + 8

Reorder the terms:
-32 + 4x = 2(-8 + x) + 8
-32 + 4x = (-8 * 2 + x * 2) + 8
-32 + 4x = (-16 + 2x) + 8

Reorder the terms:
-32 + 4x = -16 + 8 + 2x

Combine like terms: -16 + 8 = -8
-32 + 4x = -8 + 2x

Solving
-32 + 4x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-32 + 4x + -2x = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-32 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 2x = -8 + 0
-32 + 2x = -8

Add '32' to each side of the equation.
-32 + 32 + 2x = -8 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = -8 + 32
2x = -8 + 32

Combine like terms: -8 + 32 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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