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

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


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

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

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

Solving
4 + 8x = -12 + 12x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 4

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