3(3x+6)=6-2(x-6)

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Solution for 3(3x+6)=6-2(x-6) equation:


Simplifying
3(3x + 6) = 6 + -2(x + -6)

Reorder the terms:
3(6 + 3x) = 6 + -2(x + -6)
(6 * 3 + 3x * 3) = 6 + -2(x + -6)
(18 + 9x) = 6 + -2(x + -6)

Reorder the terms:
18 + 9x = 6 + -2(-6 + x)
18 + 9x = 6 + (-6 * -2 + x * -2)
18 + 9x = 6 + (12 + -2x)

Combine like terms: 6 + 12 = 18
18 + 9x = 18 + -2x

Add '-18' to each side of the equation.
18 + -18 + 9x = 18 + -18 + -2x

Combine like terms: 18 + -18 = 0
0 + 9x = 18 + -18 + -2x
9x = 18 + -18 + -2x

Combine like terms: 18 + -18 = 0
9x = 0 + -2x
9x = -2x

Solving
9x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9x + 2x = -2x + 2x

Combine like terms: 9x + 2x = 11x
11x = -2x + 2x

Combine like terms: -2x + 2x = 0
11x = 0

Divide each side by '11'.
x = 0

Simplifying
x = 0

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