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

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


Simplifying
8(x + 2) + -1(6x + -6) = x

Reorder the terms:
8(2 + x) + -1(6x + -6) = x
(2 * 8 + x * 8) + -1(6x + -6) = x
(16 + 8x) + -1(6x + -6) = x

Reorder the terms:
16 + 8x + -1(-6 + 6x) = x
16 + 8x + (-6 * -1 + 6x * -1) = x
16 + 8x + (6 + -6x) = x

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

Combine like terms: 16 + 6 = 22
22 + 8x + -6x = x

Combine like terms: 8x + -6x = 2x
22 + 2x = x

Solving
22 + 2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
22 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
22 + 1x = x + -1x

Combine like terms: x + -1x = 0
22 + 1x = 0

Add '-22' to each side of the equation.
22 + -22 + 1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = 0 + -22
1x = 0 + -22

Combine like terms: 0 + -22 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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