-12(x-1)+5+(3x-1)-8=2(2-x)+9x

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Solution for -12(x-1)+5+(3x-1)-8=2(2-x)+9x equation: 


Simplifying
-12(x + -1) + 5 + (3x + -1) + -8 = 2(2 + -1x) + 9x

Reorder the terms:
-12(-1 + x) + 5 + (3x + -1) + -8 = 2(2 + -1x) + 9x
(-1 * -12 + x * -12) + 5 + (3x + -1) + -8 = 2(2 + -1x) + 9x
(12 + -12x) + 5 + (3x + -1) + -8 = 2(2 + -1x) + 9x

Reorder the terms:
12 + -12x + 5 + (-1 + 3x) + -8 = 2(2 + -1x) + 9x

Remove parenthesis around (-1 + 3x)
12 + -12x + 5 + -1 + 3x + -8 = 2(2 + -1x) + 9x

Reorder the terms:
12 + 5 + -1 + -8 + -12x + 3x = 2(2 + -1x) + 9x

Combine like terms: 12 + 5 = 17
17 + -1 + -8 + -12x + 3x = 2(2 + -1x) + 9x

Combine like terms: 17 + -1 = 16
16 + -8 + -12x + 3x = 2(2 + -1x) + 9x

Combine like terms: 16 + -8 = 8
8 + -12x + 3x = 2(2 + -1x) + 9x

Combine like terms: -12x + 3x = -9x
8 + -9x = 2(2 + -1x) + 9x
8 + -9x = (2 * 2 + -1x * 2) + 9x
8 + -9x = (4 + -2x) + 9x

Combine like terms: -2x + 9x = 7x
8 + -9x = 4 + 7x

Solving
8 + -9x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + -9x + -7x = 4 + 7x + -7x

Combine like terms: -9x + -7x = -16x
8 + -16x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -16x = 4 + 0
8 + -16x = 4

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

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

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

Divide each side by '-16'.
x = 0.25

Simplifying
x = 0.25

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