-(3x-5)-(8x-2)+5=-5(x-2)-(9x+4)+9

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Solution for -(3x-5)-(8x-2)+5=-5(x-2)-(9x+4)+9 equation: 


Simplifying
-1(3x + -5) + -1(8x + -2) + 5 = -5(x + -2) + -1(9x + 4) + 9

Reorder the terms:
-1(-5 + 3x) + -1(8x + -2) + 5 = -5(x + -2) + -1(9x + 4) + 9
(-5 * -1 + 3x * -1) + -1(8x + -2) + 5 = -5(x + -2) + -1(9x + 4) + 9
(5 + -3x) + -1(8x + -2) + 5 = -5(x + -2) + -1(9x + 4) + 9

Reorder the terms:
5 + -3x + -1(-2 + 8x) + 5 = -5(x + -2) + -1(9x + 4) + 9
5 + -3x + (-2 * -1 + 8x * -1) + 5 = -5(x + -2) + -1(9x + 4) + 9
5 + -3x + (2 + -8x) + 5 = -5(x + -2) + -1(9x + 4) + 9

Reorder the terms:
5 + 2 + 5 + -3x + -8x = -5(x + -2) + -1(9x + 4) + 9

Combine like terms: 5 + 2 = 7
7 + 5 + -3x + -8x = -5(x + -2) + -1(9x + 4) + 9

Combine like terms: 7 + 5 = 12
12 + -3x + -8x = -5(x + -2) + -1(9x + 4) + 9

Combine like terms: -3x + -8x = -11x
12 + -11x = -5(x + -2) + -1(9x + 4) + 9

Reorder the terms:
12 + -11x = -5(-2 + x) + -1(9x + 4) + 9
12 + -11x = (-2 * -5 + x * -5) + -1(9x + 4) + 9
12 + -11x = (10 + -5x) + -1(9x + 4) + 9

Reorder the terms:
12 + -11x = 10 + -5x + -1(4 + 9x) + 9
12 + -11x = 10 + -5x + (4 * -1 + 9x * -1) + 9
12 + -11x = 10 + -5x + (-4 + -9x) + 9

Reorder the terms:
12 + -11x = 10 + -4 + 9 + -5x + -9x

Combine like terms: 10 + -4 = 6
12 + -11x = 6 + 9 + -5x + -9x

Combine like terms: 6 + 9 = 15
12 + -11x = 15 + -5x + -9x

Combine like terms: -5x + -9x = -14x
12 + -11x = 15 + -14x

Solving
12 + -11x = 15 + -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 + -11x + 14x = 15 + -14x + 14x

Combine like terms: -11x + 14x = 3x
12 + 3x = 15 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 3x = 15 + 0
12 + 3x = 15

Add '-12' to each side of the equation.
12 + -12 + 3x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 15 + -12
3x = 15 + -12

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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