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

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


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

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

Reorder the terms:
4 + 4x + -2x = -1x + 12

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

Reorder the terms:
4 + 2x = 12 + -1x

Solving
4 + 2x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 2x + x = 12 + -1x + x

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

Combine like terms: -1x + x = 0
4 + 3x = 12 + 0
4 + 3x = 12

Add '-4' to each side of the equation.
4 + -4 + 3x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 12 + -4
3x = 12 + -4

Combine like terms: 12 + -4 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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