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

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


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

Reorder the terms:
6(6 + x) = 3(x + -6)
(6 * 6 + x * 6) = 3(x + -6)
(36 + 6x) = 3(x + -6)

Reorder the terms:
36 + 6x = 3(-6 + x)
36 + 6x = (-6 * 3 + x * 3)
36 + 6x = (-18 + 3x)

Solving
36 + 6x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
36 + 6x + -3x = -18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
36 + 3x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 3x = -18 + 0
36 + 3x = -18

Add '-36' to each side of the equation.
36 + -36 + 3x = -18 + -36

Combine like terms: 36 + -36 = 0
0 + 3x = -18 + -36
3x = -18 + -36

Combine like terms: -18 + -36 = -54
3x = -54

Divide each side by '3'.
x = -18

Simplifying
x = -18

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