9(x+3)+4(-5x-1)=-12(x-1)+10

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Solution for 9(x+3)+4(-5x-1)=-12(x-1)+10 equation: 


Simplifying
9(x + 3) + 4(-5x + -1) = -12(x + -1) + 10

Reorder the terms:
9(3 + x) + 4(-5x + -1) = -12(x + -1) + 10
(3 * 9 + x * 9) + 4(-5x + -1) = -12(x + -1) + 10
(27 + 9x) + 4(-5x + -1) = -12(x + -1) + 10

Reorder the terms:
27 + 9x + 4(-1 + -5x) = -12(x + -1) + 10
27 + 9x + (-1 * 4 + -5x * 4) = -12(x + -1) + 10
27 + 9x + (-4 + -20x) = -12(x + -1) + 10

Reorder the terms:
27 + -4 + 9x + -20x = -12(x + -1) + 10

Combine like terms: 27 + -4 = 23
23 + 9x + -20x = -12(x + -1) + 10

Combine like terms: 9x + -20x = -11x
23 + -11x = -12(x + -1) + 10

Reorder the terms:
23 + -11x = -12(-1 + x) + 10
23 + -11x = (-1 * -12 + x * -12) + 10
23 + -11x = (12 + -12x) + 10

Reorder the terms:
23 + -11x = 12 + 10 + -12x

Combine like terms: 12 + 10 = 22
23 + -11x = 22 + -12x

Solving
23 + -11x = 22 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
23 + -11x + 12x = 22 + -12x + 12x

Combine like terms: -11x + 12x = 1x
23 + 1x = 22 + -12x + 12x

Combine like terms: -12x + 12x = 0
23 + 1x = 22 + 0
23 + 1x = 22

Add '-23' to each side of the equation.
23 + -23 + 1x = 22 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = 22 + -23
1x = 22 + -23

Combine like terms: 22 + -23 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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