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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 8 + 8 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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