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

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


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

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

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

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

Reorder the terms:
-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 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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