4x-2(x-1)=12-3x

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Solution for 4x-2(x-1)=12-3x equation: 


Simplifying
4x + -2(x + -1) = 12 + -3x

Reorder the terms:
4x + -2(-1 + x) = 12 + -3x
4x + (-1 * -2 + x * -2) = 12 + -3x
4x + (2 + -2x) = 12 + -3x

Reorder the terms:
2 + 4x + -2x = 12 + -3x

Combine like terms: 4x + -2x = 2x
2 + 2x = 12 + -3x

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

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

Combine like terms: -3x + 3x = 0
2 + 5x = 12 + 0
2 + 5x = 12

Add '-2' to each side of the equation.
2 + -2 + 5x = 12 + -2

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

Combine like terms: 12 + -2 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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