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

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


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

Reorder the terms:
6(-6 + x) + 2 = 8(x + 2) + -8
(-6 * 6 + x * 6) + 2 = 8(x + 2) + -8
(-36 + 6x) + 2 = 8(x + 2) + -8

Reorder the terms:
-36 + 2 + 6x = 8(x + 2) + -8

Combine like terms: -36 + 2 = -34
-34 + 6x = 8(x + 2) + -8

Reorder the terms:
-34 + 6x = 8(2 + x) + -8
-34 + 6x = (2 * 8 + x * 8) + -8
-34 + 6x = (16 + 8x) + -8

Reorder the terms:
-34 + 6x = 16 + -8 + 8x

Combine like terms: 16 + -8 = 8
-34 + 6x = 8 + 8x

Solving
-34 + 6x = 8 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
-34 + 6x + -8x = 8 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-34 + -2x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-34 + -2x = 8 + 0
-34 + -2x = 8

Add '34' to each side of the equation.
-34 + 34 + -2x = 8 + 34

Combine like terms: -34 + 34 = 0
0 + -2x = 8 + 34
-2x = 8 + 34

Combine like terms: 8 + 34 = 42
-2x = 42

Divide each side by '-2'.
x = -21

Simplifying
x = -21

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