-1(3x-5)-(6x-6)+1=-12(x-1)-(2x+3)

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Solution for -1(3x-5)-(6x-6)+1=-12(x-1)-(2x+3) equation:


Simplifying
-1(3x + -5) + -1(6x + -6) + 1 = -12(x + -1) + -1(2x + 3)

Reorder the terms:
-1(-5 + 3x) + -1(6x + -6) + 1 = -12(x + -1) + -1(2x + 3)
(-5 * -1 + 3x * -1) + -1(6x + -6) + 1 = -12(x + -1) + -1(2x + 3)
(5 + -3x) + -1(6x + -6) + 1 = -12(x + -1) + -1(2x + 3)

Reorder the terms:
5 + -3x + -1(-6 + 6x) + 1 = -12(x + -1) + -1(2x + 3)
5 + -3x + (-6 * -1 + 6x * -1) + 1 = -12(x + -1) + -1(2x + 3)
5 + -3x + (6 + -6x) + 1 = -12(x + -1) + -1(2x + 3)

Reorder the terms:
5 + 6 + 1 + -3x + -6x = -12(x + -1) + -1(2x + 3)

Combine like terms: 5 + 6 = 11
11 + 1 + -3x + -6x = -12(x + -1) + -1(2x + 3)

Combine like terms: 11 + 1 = 12
12 + -3x + -6x = -12(x + -1) + -1(2x + 3)

Combine like terms: -3x + -6x = -9x
12 + -9x = -12(x + -1) + -1(2x + 3)

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

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

Reorder the terms:
12 + -9x = 12 + -3 + -12x + -2x

Combine like terms: 12 + -3 = 9
12 + -9x = 9 + -12x + -2x

Combine like terms: -12x + -2x = -14x
12 + -9x = 9 + -14x

Solving
12 + -9x = 9 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
12 + -9x + 14x = 9 + -14x + 14x

Combine like terms: -9x + 14x = 5x
12 + 5x = 9 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 5x = 9 + 0
12 + 5x = 9

Add '-12' to each side of the equation.
12 + -12 + 5x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 9 + -12
5x = 9 + -12

Combine like terms: 9 + -12 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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