3x+6=6(x-2)-6

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Solution for 3x+6=6(x-2)-6 equation: 


Simplifying
3x + 6 = 6(x + -2) + -6

Reorder the terms:
6 + 3x = 6(x + -2) + -6

Reorder the terms:
6 + 3x = 6(-2 + x) + -6
6 + 3x = (-2 * 6 + x * 6) + -6
6 + 3x = (-12 + 6x) + -6

Reorder the terms:
6 + 3x = -12 + -6 + 6x

Combine like terms: -12 + -6 = -18
6 + 3x = -18 + 6x

Solving
6 + 3x = -18 + 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.
6 + 3x + -6x = -18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
6 + -3x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -3x = -18 + 0
6 + -3x = -18

Add '-6' to each side of the equation.
6 + -6 + -3x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -18 + -6
-3x = -18 + -6

Combine like terms: -18 + -6 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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