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

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


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

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

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

Combine like terms: -6 + -6 = -12
-12 + -3x = 2(x + -4) + 8

Reorder the terms:
-12 + -3x = 2(-4 + x) + 8
-12 + -3x = (-4 * 2 + x * 2) + 8
-12 + -3x = (-8 + 2x) + 8

Reorder the terms:
-12 + -3x = -8 + 8 + 2x

Combine like terms: -8 + 8 = 0
-12 + -3x = 0 + 2x
-12 + -3x = 2x

Solving
-12 + -3x = 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.
-12 + -3x + -2x = 2x + -2x

Combine like terms: -3x + -2x = -5x
-12 + -5x = 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -5x = 0

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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