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

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


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

Reorder the terms:
4(-6 + x) + 6 = 6(x + 2) + -8
(-6 * 4 + x * 4) + 6 = 6(x + 2) + -8
(-24 + 4x) + 6 = 6(x + 2) + -8

Reorder the terms:
-24 + 6 + 4x = 6(x + 2) + -8

Combine like terms: -24 + 6 = -18
-18 + 4x = 6(x + 2) + -8

Reorder the terms:
-18 + 4x = 6(2 + x) + -8
-18 + 4x = (2 * 6 + x * 6) + -8
-18 + 4x = (12 + 6x) + -8

Reorder the terms:
-18 + 4x = 12 + -8 + 6x

Combine like terms: 12 + -8 = 4
-18 + 4x = 4 + 6x

Solving
-18 + 4x = 4 + 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.
-18 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-18 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -2x = 4 + 0
-18 + -2x = 4

Add '18' to each side of the equation.
-18 + 18 + -2x = 4 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = 4 + 18
-2x = 4 + 18

Combine like terms: 4 + 18 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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