3(x+6)=6x-6

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


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

Reorder the terms:
3(6 + x) = 6x + -6
(6 * 3 + x * 3) = 6x + -6
(18 + 3x) = 6x + -6

Reorder the terms:
18 + 3x = -6 + 6x

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

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

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

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

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

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

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

Simplifying
x = 8

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