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

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


Simplifying
6(-1x + 6) + 3(-6 + 3x) = 6

Reorder the terms:
6(6 + -1x) + 3(-6 + 3x) = 6
(6 * 6 + -1x * 6) + 3(-6 + 3x) = 6
(36 + -6x) + 3(-6 + 3x) = 6
36 + -6x + (-6 * 3 + 3x * 3) = 6
36 + -6x + (-18 + 9x) = 6

Reorder the terms:
36 + -18 + -6x + 9x = 6

Combine like terms: 36 + -18 = 18
18 + -6x + 9x = 6

Combine like terms: -6x + 9x = 3x
18 + 3x = 6

Solving
18 + 3x = 6

Solving for variable 'x'.

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

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 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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