-(5x-6)-(3x-3)+8=-7(x-8)-(4x+5)+9

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Solution for -(5x-6)-(3x-3)+8=-7(x-8)-(4x+5)+9 equation: 


Simplifying
-1(5x + -6) + -1(3x + -3) + 8 = -7(x + -8) + -1(4x + 5) + 9

Reorder the terms:
-1(-6 + 5x) + -1(3x + -3) + 8 = -7(x + -8) + -1(4x + 5) + 9
(-6 * -1 + 5x * -1) + -1(3x + -3) + 8 = -7(x + -8) + -1(4x + 5) + 9
(6 + -5x) + -1(3x + -3) + 8 = -7(x + -8) + -1(4x + 5) + 9

Reorder the terms:
6 + -5x + -1(-3 + 3x) + 8 = -7(x + -8) + -1(4x + 5) + 9
6 + -5x + (-3 * -1 + 3x * -1) + 8 = -7(x + -8) + -1(4x + 5) + 9
6 + -5x + (3 + -3x) + 8 = -7(x + -8) + -1(4x + 5) + 9

Reorder the terms:
6 + 3 + 8 + -5x + -3x = -7(x + -8) + -1(4x + 5) + 9

Combine like terms: 6 + 3 = 9
9 + 8 + -5x + -3x = -7(x + -8) + -1(4x + 5) + 9

Combine like terms: 9 + 8 = 17
17 + -5x + -3x = -7(x + -8) + -1(4x + 5) + 9

Combine like terms: -5x + -3x = -8x
17 + -8x = -7(x + -8) + -1(4x + 5) + 9

Reorder the terms:
17 + -8x = -7(-8 + x) + -1(4x + 5) + 9
17 + -8x = (-8 * -7 + x * -7) + -1(4x + 5) + 9
17 + -8x = (56 + -7x) + -1(4x + 5) + 9

Reorder the terms:
17 + -8x = 56 + -7x + -1(5 + 4x) + 9
17 + -8x = 56 + -7x + (5 * -1 + 4x * -1) + 9
17 + -8x = 56 + -7x + (-5 + -4x) + 9

Reorder the terms:
17 + -8x = 56 + -5 + 9 + -7x + -4x

Combine like terms: 56 + -5 = 51
17 + -8x = 51 + 9 + -7x + -4x

Combine like terms: 51 + 9 = 60
17 + -8x = 60 + -7x + -4x

Combine like terms: -7x + -4x = -11x
17 + -8x = 60 + -11x

Solving
17 + -8x = 60 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
17 + -8x + 11x = 60 + -11x + 11x

Combine like terms: -8x + 11x = 3x
17 + 3x = 60 + -11x + 11x

Combine like terms: -11x + 11x = 0
17 + 3x = 60 + 0
17 + 3x = 60

Add '-17' to each side of the equation.
17 + -17 + 3x = 60 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 60 + -17
3x = 60 + -17

Combine like terms: 60 + -17 = 43
3x = 43

Divide each side by '3'.
x = 14.33333333

Simplifying
x = 14.33333333

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