12-(3x-2)=2(x-1)+3x

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Solution for 12-(3x-2)=2(x-1)+3x equation: 


Simplifying
12 + -1(3x + -2) = 2(x + -1) + 3x

Reorder the terms:
12 + -1(-2 + 3x) = 2(x + -1) + 3x
12 + (-2 * -1 + 3x * -1) = 2(x + -1) + 3x
12 + (2 + -3x) = 2(x + -1) + 3x

Combine like terms: 12 + 2 = 14
14 + -3x = 2(x + -1) + 3x

Reorder the terms:
14 + -3x = 2(-1 + x) + 3x
14 + -3x = (-1 * 2 + x * 2) + 3x
14 + -3x = (-2 + 2x) + 3x

Combine like terms: 2x + 3x = 5x
14 + -3x = -2 + 5x

Solving
14 + -3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + -3x + -5x = -2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
14 + -8x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -8x = -2 + 0
14 + -8x = -2

Add '-14' to each side of the equation.
14 + -14 + -8x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -2 + -14
-8x = -2 + -14

Combine like terms: -2 + -14 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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