117=6x-3(-3x+6)

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Solution for 117=6x-3(-3x+6) equation: 


Simplifying
117 = 6x + -3(-3x + 6)

Reorder the terms:
117 = 6x + -3(6 + -3x)
117 = 6x + (6 * -3 + -3x * -3)
117 = 6x + (-18 + 9x)

Reorder the terms:
117 = -18 + 6x + 9x

Combine like terms: 6x + 9x = 15x
117 = -18 + 15x

Solving
117 = -18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
117 + -15x = -18 + 15x + -15x

Combine like terms: 15x + -15x = 0
117 + -15x = -18 + 0
117 + -15x = -18

Add '-117' to each side of the equation.
117 + -117 + -15x = -18 + -117

Combine like terms: 117 + -117 = 0
0 + -15x = -18 + -117
-15x = -18 + -117

Combine like terms: -18 + -117 = -135
-15x = -135

Divide each side by '-15'.
x = 9

Simplifying
x = 9

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