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

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


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

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

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

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

Combine like terms: 8 + 5 = 13
13 + 4 + -3x + -5x = -9(x + -6) + -1(7x + 6) + 9

Combine like terms: 13 + 4 = 17
17 + -3x + -5x = -9(x + -6) + -1(7x + 6) + 9

Combine like terms: -3x + -5x = -8x
17 + -8x = -9(x + -6) + -1(7x + 6) + 9

Reorder the terms:
17 + -8x = -9(-6 + x) + -1(7x + 6) + 9
17 + -8x = (-6 * -9 + x * -9) + -1(7x + 6) + 9
17 + -8x = (54 + -9x) + -1(7x + 6) + 9

Reorder the terms:
17 + -8x = 54 + -9x + -1(6 + 7x) + 9
17 + -8x = 54 + -9x + (6 * -1 + 7x * -1) + 9
17 + -8x = 54 + -9x + (-6 + -7x) + 9

Reorder the terms:
17 + -8x = 54 + -6 + 9 + -9x + -7x

Combine like terms: 54 + -6 = 48
17 + -8x = 48 + 9 + -9x + -7x

Combine like terms: 48 + 9 = 57
17 + -8x = 57 + -9x + -7x

Combine like terms: -9x + -7x = -16x
17 + -8x = 57 + -16x

Solving
17 + -8x = 57 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
17 + -8x + 16x = 57 + -16x + 16x

Combine like terms: -8x + 16x = 8x
17 + 8x = 57 + -16x + 16x

Combine like terms: -16x + 16x = 0
17 + 8x = 57 + 0
17 + 8x = 57

Add '-17' to each side of the equation.
17 + -17 + 8x = 57 + -17

Combine like terms: 17 + -17 = 0
0 + 8x = 57 + -17
8x = 57 + -17

Combine like terms: 57 + -17 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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