2(2x-4)=8(x+1)

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Solution for 2(2x-4)=8(x+1) equation:


Simplifying
2(2x + -4) = 8(x + 1)

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

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

Solving
-8 + 4x = 8 + 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.
-8 + 4x + -8x = 8 + 8x + -8x

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

Combine like terms: 8x + -8x = 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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