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

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


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

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

Reorder the terms:
-4 + 2x = 2(8 + -4x)
-4 + 2x = (8 * 2 + -4x * 2)
-4 + 2x = (16 + -8x)

Solving
-4 + 2x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-4 + 2x + 8x = 16 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-4 + 10x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-4 + 10x = 16 + 0
-4 + 10x = 16

Add '4' to each side of the equation.
-4 + 4 + 10x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 10x = 16 + 4
10x = 16 + 4

Combine like terms: 16 + 4 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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