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

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


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

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

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

Combine like terms: 32 + 2 = 34
34 + -4x = -4(x + -8) + -2x

Reorder the terms:
34 + -4x = -4(-8 + x) + -2x
34 + -4x = (-8 * -4 + x * -4) + -2x
34 + -4x = (32 + -4x) + -2x

Combine like terms: -4x + -2x = -6x
34 + -4x = 32 + -6x

Solving
34 + -4x = 32 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
34 + -4x + 6x = 32 + -6x + 6x

Combine like terms: -4x + 6x = 2x
34 + 2x = 32 + -6x + 6x

Combine like terms: -6x + 6x = 0
34 + 2x = 32 + 0
34 + 2x = 32

Add '-34' to each side of the equation.
34 + -34 + 2x = 32 + -34

Combine like terms: 34 + -34 = 0
0 + 2x = 32 + -34
2x = 32 + -34

Combine like terms: 32 + -34 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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