3(6-x)=2(-6x-9)

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Solution for 3(6-x)=2(-6x-9) equation:


Simplifying
3(6 + -1x) = 2(-6x + -9)
(6 * 3 + -1x * 3) = 2(-6x + -9)
(18 + -3x) = 2(-6x + -9)

Reorder the terms:
18 + -3x = 2(-9 + -6x)
18 + -3x = (-9 * 2 + -6x * 2)
18 + -3x = (-18 + -12x)

Solving
18 + -3x = -18 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
18 + -3x + 12x = -18 + -12x + 12x

Combine like terms: -3x + 12x = 9x
18 + 9x = -18 + -12x + 12x

Combine like terms: -12x + 12x = 0
18 + 9x = -18 + 0
18 + 9x = -18

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

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

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

Divide each side by '9'.
x = -4

Simplifying
x = -4

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