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

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


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

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

Combine like terms: 4 + 2 = 6
6 + -1x = 2x + -12 + 3x

Reorder the terms:
6 + -1x = -12 + 2x + 3x

Combine like terms: 2x + 3x = 5x
6 + -1x = -12 + 5x

Solving
6 + -1x = -12 + 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.
6 + -1x + -5x = -12 + 5x + -5x

Combine like terms: -1x + -5x = -6x
6 + -6x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -6x = -12 + 0
6 + -6x = -12

Add '-6' to each side of the equation.
6 + -6 + -6x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -12 + -6
-6x = -12 + -6

Combine like terms: -12 + -6 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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