-(5x-6)-(7x-3)+2=-9(x-5)-(6x+8)+8

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Solution for -(5x-6)-(7x-3)+2=-9(x-5)-(6x+8)+8 equation: 


Simplifying
-1(5x + -6) + -1(7x + -3) + 2 = -9(x + -5) + -1(6x + 8) + 8

Reorder the terms:
-1(-6 + 5x) + -1(7x + -3) + 2 = -9(x + -5) + -1(6x + 8) + 8
(-6 * -1 + 5x * -1) + -1(7x + -3) + 2 = -9(x + -5) + -1(6x + 8) + 8
(6 + -5x) + -1(7x + -3) + 2 = -9(x + -5) + -1(6x + 8) + 8

Reorder the terms:
6 + -5x + -1(-3 + 7x) + 2 = -9(x + -5) + -1(6x + 8) + 8
6 + -5x + (-3 * -1 + 7x * -1) + 2 = -9(x + -5) + -1(6x + 8) + 8
6 + -5x + (3 + -7x) + 2 = -9(x + -5) + -1(6x + 8) + 8

Reorder the terms:
6 + 3 + 2 + -5x + -7x = -9(x + -5) + -1(6x + 8) + 8

Combine like terms: 6 + 3 = 9
9 + 2 + -5x + -7x = -9(x + -5) + -1(6x + 8) + 8

Combine like terms: 9 + 2 = 11
11 + -5x + -7x = -9(x + -5) + -1(6x + 8) + 8

Combine like terms: -5x + -7x = -12x
11 + -12x = -9(x + -5) + -1(6x + 8) + 8

Reorder the terms:
11 + -12x = -9(-5 + x) + -1(6x + 8) + 8
11 + -12x = (-5 * -9 + x * -9) + -1(6x + 8) + 8
11 + -12x = (45 + -9x) + -1(6x + 8) + 8

Reorder the terms:
11 + -12x = 45 + -9x + -1(8 + 6x) + 8
11 + -12x = 45 + -9x + (8 * -1 + 6x * -1) + 8
11 + -12x = 45 + -9x + (-8 + -6x) + 8

Reorder the terms:
11 + -12x = 45 + -8 + 8 + -9x + -6x

Combine like terms: 45 + -8 = 37
11 + -12x = 37 + 8 + -9x + -6x

Combine like terms: 37 + 8 = 45
11 + -12x = 45 + -9x + -6x

Combine like terms: -9x + -6x = -15x
11 + -12x = 45 + -15x

Solving
11 + -12x = 45 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
11 + -12x + 15x = 45 + -15x + 15x

Combine like terms: -12x + 15x = 3x
11 + 3x = 45 + -15x + 15x

Combine like terms: -15x + 15x = 0
11 + 3x = 45 + 0
11 + 3x = 45

Add '-11' to each side of the equation.
11 + -11 + 3x = 45 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 45 + -11
3x = 45 + -11

Combine like terms: 45 + -11 = 34
3x = 34

Divide each side by '3'.
x = 11.33333333

Simplifying
x = 11.33333333

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