2(2x+4)=(8x-12)

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Solution for 2(2x+4)=(8x-12) equation:


Simplifying
2(2x + 4) = (8x + -12)

Reorder the terms:
2(4 + 2x) = (8x + -12)
(4 * 2 + 2x * 2) = (8x + -12)
(8 + 4x) = (8x + -12)

Reorder the terms:
8 + 4x = (-12 + 8x)

Remove parenthesis around (-12 + 8x)
8 + 4x = -12 + 8x

Solving
8 + 4x = -12 + 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 = -12 + 8x + -8x

Combine like terms: 4x + -8x = -4x
8 + -4x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -4x = -12 + 0
8 + -4x = -12

Add '-8' to each side of the equation.
8 + -8 + -4x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -12 + -8
-4x = -12 + -8

Combine like terms: -12 + -8 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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