2(3x-4)=-4(6-2x)+2x

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Solution for 2(3x-4)=-4(6-2x)+2x equation:


Simplifying
2(3x + -4) = -4(6 + -2x) + 2x

Reorder the terms:
2(-4 + 3x) = -4(6 + -2x) + 2x
(-4 * 2 + 3x * 2) = -4(6 + -2x) + 2x
(-8 + 6x) = -4(6 + -2x) + 2x
-8 + 6x = (6 * -4 + -2x * -4) + 2x
-8 + 6x = (-24 + 8x) + 2x

Combine like terms: 8x + 2x = 10x
-8 + 6x = -24 + 10x

Solving
-8 + 6x = -24 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 6x + -10x = -24 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-8 + -4x = -24 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + -4x = -24 + 0
-8 + -4x = -24

Add '8' to each side of the equation.
-8 + 8 + -4x = -24 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -24 + 8
-4x = -24 + 8

Combine like terms: -24 + 8 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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