-12(x-1)+5(3x-1)-8=2x

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Solution for -12(x-1)+5(3x-1)-8=2x equation:


Simplifying
-12(x + -1) + 5(3x + -1) + -8 = 2x

Reorder the terms:
-12(-1 + x) + 5(3x + -1) + -8 = 2x
(-1 * -12 + x * -12) + 5(3x + -1) + -8 = 2x
(12 + -12x) + 5(3x + -1) + -8 = 2x

Reorder the terms:
12 + -12x + 5(-1 + 3x) + -8 = 2x
12 + -12x + (-1 * 5 + 3x * 5) + -8 = 2x
12 + -12x + (-5 + 15x) + -8 = 2x

Reorder the terms:
12 + -5 + -8 + -12x + 15x = 2x

Combine like terms: 12 + -5 = 7
7 + -8 + -12x + 15x = 2x

Combine like terms: 7 + -8 = -1
-1 + -12x + 15x = 2x

Combine like terms: -12x + 15x = 3x
-1 + 3x = 2x

Solving
-1 + 3x = 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.
-1 + 3x + -2x = 2x + -2x

Combine like terms: 3x + -2x = 1x
-1 + 1x = 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 1x = 0

Add '1' to each side of the equation.
-1 + 1 + 1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 0 + 1
1x = 0 + 1

Combine like terms: 0 + 1 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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