2x-8=-2(x-4)

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Solution for 2x-8=-2(x-4) equation:


Simplifying
2x + -8 = -2(x + -4)

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

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

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

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

Combine like terms: -2x + 2x = 0
-8 + 4x = 8 + 0
-8 + 4x = 8

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

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

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

Divide each side by '4'.
x = 4

Simplifying
x = 4

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