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

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


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

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

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

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

Solving
-4 + 3x = 4 + -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.
-4 + 3x + 3x = 4 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-4 + 6x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 6x = 4 + 0
-4 + 6x = 4

Add '4' to each side of the equation.
-4 + 4 + 6x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 4 + 4
6x = 4 + 4

Combine like terms: 4 + 4 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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