2(x-6)+4=4(x+2)-12

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Solution for 2(x-6)+4=4(x+2)-12 equation: 


Simplifying
2(x + -6) + 4 = 4(x + 2) + -12

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

Reorder the terms:
-12 + 4 + 2x = 4(x + 2) + -12

Combine like terms: -12 + 4 = -8
-8 + 2x = 4(x + 2) + -12

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

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

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

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

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

Combine like terms: 4x + -4x = 0
-8 + -2x = -4 + 0
-8 + -2x = -4

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

Combine like terms: -8 + 8 = 0
0 + -2x = -4 + 8
-2x = -4 + 8

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

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

Simplifying
x = -2

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