-3(-3x+6)-2x=3(x-4)-8

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Solution for -3(-3x+6)-2x=3(x-4)-8 equation: 


Simplifying
-3(-3x + 6) + -2x = 3(x + -4) + -8

Reorder the terms:
-3(6 + -3x) + -2x = 3(x + -4) + -8
(6 * -3 + -3x * -3) + -2x = 3(x + -4) + -8
(-18 + 9x) + -2x = 3(x + -4) + -8

Combine like terms: 9x + -2x = 7x
-18 + 7x = 3(x + -4) + -8

Reorder the terms:
-18 + 7x = 3(-4 + x) + -8
-18 + 7x = (-4 * 3 + x * 3) + -8
-18 + 7x = (-12 + 3x) + -8

Reorder the terms:
-18 + 7x = -12 + -8 + 3x

Combine like terms: -12 + -8 = -20
-18 + 7x = -20 + 3x

Solving
-18 + 7x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-18 + 7x + -3x = -20 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-18 + 4x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 4x = -20 + 0
-18 + 4x = -20

Add '18' to each side of the equation.
-18 + 18 + 4x = -20 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = -20 + 18
4x = -20 + 18

Combine like terms: -20 + 18 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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