2(4x+2)=4x-12(x-1)

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Solution for 2(4x+2)=4x-12(x-1) equation:


Simplifying
2(4x + 2) = 4x + -12(x + -1)

Reorder the terms:
2(2 + 4x) = 4x + -12(x + -1)
(2 * 2 + 4x * 2) = 4x + -12(x + -1)
(4 + 8x) = 4x + -12(x + -1)

Reorder the terms:
4 + 8x = 4x + -12(-1 + x)
4 + 8x = 4x + (-1 * -12 + x * -12)
4 + 8x = 4x + (12 + -12x)

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

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

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

Combine like terms: 8x + 8x = 16x
4 + 16x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
4 + 16x = 12 + 0
4 + 16x = 12

Add '-4' to each side of the equation.
4 + -4 + 16x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 16x = 12 + -4
16x = 12 + -4

Combine like terms: 12 + -4 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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