6=3(x+6)-6x

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


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

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

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

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

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

Divide each side by '3'.
x = 4

Simplifying
x = 4

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