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

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


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

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

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

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

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

Combine like terms: 3x + -2x = 1x
-12 + 1x = 2x + -8

Reorder the terms:
-12 + 1x = -8 + 2x

Solving
-12 + 1x = -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.
-12 + 1x + -2x = -8 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-12 + -1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -1x = -8 + 0
-12 + -1x = -8

Add '12' to each side of the equation.
-12 + 12 + -1x = -8 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -8 + 12
-1x = -8 + 12

Combine like terms: -8 + 12 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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