3(-3x+2)=-2(x-2)-12

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Solution for 3(-3x+2)=-2(x-2)-12 equation:


Simplifying
3(-3x + 2) = -2(x + -2) + -12

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

Reorder the terms:
6 + -9x = -2(-2 + x) + -12
6 + -9x = (-2 * -2 + x * -2) + -12
6 + -9x = (4 + -2x) + -12

Reorder the terms:
6 + -9x = 4 + -12 + -2x

Combine like terms: 4 + -12 = -8
6 + -9x = -8 + -2x

Solving
6 + -9x = -8 + -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.
6 + -9x + 2x = -8 + -2x + 2x

Combine like terms: -9x + 2x = -7x
6 + -7x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -7x = -8 + 0
6 + -7x = -8

Add '-6' to each side of the equation.
6 + -6 + -7x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -8 + -6
-7x = -8 + -6

Combine like terms: -8 + -6 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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