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

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


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

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

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

Reorder the terms:
2 + 4x = 12 + 4x + -12x

Combine like terms: 4x + -12x = -8x
2 + 4x = 12 + -8x

Solving
2 + 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.
2 + 4x + 8x = 12 + -8x + 8x

Combine like terms: 4x + 8x = 12x
2 + 12x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
2 + 12x = 12 + 0
2 + 12x = 12

Add '-2' to each side of the equation.
2 + -2 + 12x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = 12 + -2
12x = 12 + -2

Combine like terms: 12 + -2 = 10
12x = 10

Divide each side by '12'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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