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

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


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

Reorder the terms:
2(-4 + 3x) = 2(x + -2) + 2 + -1x
(-4 * 2 + 3x * 2) = 2(x + -2) + 2 + -1x
(-8 + 6x) = 2(x + -2) + 2 + -1x

Reorder the terms:
-8 + 6x = 2(-2 + x) + 2 + -1x
-8 + 6x = (-2 * 2 + x * 2) + 2 + -1x
-8 + 6x = (-4 + 2x) + 2 + -1x

Reorder the terms:
-8 + 6x = -4 + 2 + 2x + -1x

Combine like terms: -4 + 2 = -2
-8 + 6x = -2 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-8 + 6x = -2 + 1x

Solving
-8 + 6x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 6x + -1x = -2 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-8 + 5x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-8 + 5x = -2 + 0
-8 + 5x = -2

Add '8' to each side of the equation.
-8 + 8 + 5x = -2 + 8

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

Combine like terms: -2 + 8 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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