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

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


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

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

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

Combine like terms: -12 + 6 = -6
-6 + 2x = 4(x + 2) + -6

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

Reorder the terms:
-6 + 2x = 8 + -6 + 4x

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

Solving
-6 + 2x = 2 + 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.
-6 + 2x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + -2x = 2 + 0
-6 + -2x = 2

Add '6' to each side of the equation.
-6 + 6 + -2x = 2 + 6

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

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

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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