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

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


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

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

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

Combine like terms: -12 + 8 = -4
-4 + 2x = 4(x + 2) + -6

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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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