2(x-6)+32=8-4x

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Solution for 2(x-6)+32=8-4x equation:


Simplifying
2(x + -6) + 32 = 8 + -4x

Reorder the terms:
2(-6 + x) + 32 = 8 + -4x
(-6 * 2 + x * 2) + 32 = 8 + -4x
(-12 + 2x) + 32 = 8 + -4x

Reorder the terms:
-12 + 32 + 2x = 8 + -4x

Combine like terms: -12 + 32 = 20
20 + 2x = 8 + -4x

Solving
20 + 2x = 8 + -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.
20 + 2x + 4x = 8 + -4x + 4x

Combine like terms: 2x + 4x = 6x
20 + 6x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + 6x = 8 + 0
20 + 6x = 8

Add '-20' to each side of the equation.
20 + -20 + 6x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = 8 + -20
6x = 8 + -20

Combine like terms: 8 + -20 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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