12-4(x-1)=2x-8

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Solution for 12-4(x-1)=2x-8 equation: 


Simplifying
12 + -4(x + -1) = 2x + -8

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

Combine like terms: 12 + 4 = 16
16 + -4x = 2x + -8

Reorder the terms:
16 + -4x = -8 + 2x

Solving
16 + -4x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + -4x + -2x = -8 + 2x + -2x

Combine like terms: -4x + -2x = -6x
16 + -6x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -6x = -8 + 0
16 + -6x = -8

Add '-16' to each side of the equation.
16 + -16 + -6x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -8 + -16
-6x = -8 + -16

Combine like terms: -8 + -16 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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