9-3(4-5(x-3)-12)-10=2x-5(x-3)-2+2(3-x)

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Solution for 9-3(4-5(x-3)-12)-10=2x-5(x-3)-2+2(3-x) equation:


Simplifying
9 + -3(4 + -5(x + -3) + -12) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Reorder the terms:
9 + -3(4 + -5(-3 + x) + -12) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)
9 + -3(4 + (-3 * -5 + x * -5) + -12) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)
9 + -3(4 + (15 + -5x) + -12) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Reorder the terms:
9 + -3(4 + 15 + -12 + -5x) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Combine like terms: 4 + 15 = 19
9 + -3(19 + -12 + -5x) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Combine like terms: 19 + -12 = 7
9 + -3(7 + -5x) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)
9 + (7 * -3 + -5x * -3) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)
9 + (-21 + 15x) + -10 = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Reorder the terms:
9 + -21 + -10 + 15x = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Combine like terms: 9 + -21 = -12
-12 + -10 + 15x = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Combine like terms: -12 + -10 = -22
-22 + 15x = 2x + -5(x + -3) + -2 + 2(3 + -1x)

Reorder the terms:
-22 + 15x = 2x + -5(-3 + x) + -2 + 2(3 + -1x)
-22 + 15x = 2x + (-3 * -5 + x * -5) + -2 + 2(3 + -1x)
-22 + 15x = 2x + (15 + -5x) + -2 + 2(3 + -1x)
-22 + 15x = 2x + 15 + -5x + -2 + (3 * 2 + -1x * 2)
-22 + 15x = 2x + 15 + -5x + -2 + (6 + -2x)

Reorder the terms:
-22 + 15x = 15 + -2 + 6 + 2x + -5x + -2x

Combine like terms: 15 + -2 = 13
-22 + 15x = 13 + 6 + 2x + -5x + -2x

Combine like terms: 13 + 6 = 19
-22 + 15x = 19 + 2x + -5x + -2x

Combine like terms: 2x + -5x = -3x
-22 + 15x = 19 + -3x + -2x

Combine like terms: -3x + -2x = -5x
-22 + 15x = 19 + -5x

Solving
-22 + 15x = 19 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-22 + 15x + 5x = 19 + -5x + 5x

Combine like terms: 15x + 5x = 20x
-22 + 20x = 19 + -5x + 5x

Combine like terms: -5x + 5x = 0
-22 + 20x = 19 + 0
-22 + 20x = 19

Add '22' to each side of the equation.
-22 + 22 + 20x = 19 + 22

Combine like terms: -22 + 22 = 0
0 + 20x = 19 + 22
20x = 19 + 22

Combine like terms: 19 + 22 = 41
20x = 41

Divide each side by '20'.
x = 2.05

Simplifying
x = 2.05

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