-(4x-7)-(8x-2)+8=-9(x-5)-(5x+2)+2

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Solution for -(4x-7)-(8x-2)+8=-9(x-5)-(5x+2)+2 equation: 


Simplifying
-1(4x + -7) + -1(8x + -2) + 8 = -9(x + -5) + -1(5x + 2) + 2

Reorder the terms:
-1(-7 + 4x) + -1(8x + -2) + 8 = -9(x + -5) + -1(5x + 2) + 2
(-7 * -1 + 4x * -1) + -1(8x + -2) + 8 = -9(x + -5) + -1(5x + 2) + 2
(7 + -4x) + -1(8x + -2) + 8 = -9(x + -5) + -1(5x + 2) + 2

Reorder the terms:
7 + -4x + -1(-2 + 8x) + 8 = -9(x + -5) + -1(5x + 2) + 2
7 + -4x + (-2 * -1 + 8x * -1) + 8 = -9(x + -5) + -1(5x + 2) + 2
7 + -4x + (2 + -8x) + 8 = -9(x + -5) + -1(5x + 2) + 2

Reorder the terms:
7 + 2 + 8 + -4x + -8x = -9(x + -5) + -1(5x + 2) + 2

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

Combine like terms: 9 + 8 = 17
17 + -4x + -8x = -9(x + -5) + -1(5x + 2) + 2

Combine like terms: -4x + -8x = -12x
17 + -12x = -9(x + -5) + -1(5x + 2) + 2

Reorder the terms:
17 + -12x = -9(-5 + x) + -1(5x + 2) + 2
17 + -12x = (-5 * -9 + x * -9) + -1(5x + 2) + 2
17 + -12x = (45 + -9x) + -1(5x + 2) + 2

Reorder the terms:
17 + -12x = 45 + -9x + -1(2 + 5x) + 2
17 + -12x = 45 + -9x + (2 * -1 + 5x * -1) + 2
17 + -12x = 45 + -9x + (-2 + -5x) + 2

Reorder the terms:
17 + -12x = 45 + -2 + 2 + -9x + -5x

Combine like terms: 45 + -2 = 43
17 + -12x = 43 + 2 + -9x + -5x

Combine like terms: 43 + 2 = 45
17 + -12x = 45 + -9x + -5x

Combine like terms: -9x + -5x = -14x
17 + -12x = 45 + -14x

Solving
17 + -12x = 45 + -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.
17 + -12x + 14x = 45 + -14x + 14x

Combine like terms: -12x + 14x = 2x
17 + 2x = 45 + -14x + 14x

Combine like terms: -14x + 14x = 0
17 + 2x = 45 + 0
17 + 2x = 45

Add '-17' to each side of the equation.
17 + -17 + 2x = 45 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 45 + -17
2x = 45 + -17

Combine like terms: 45 + -17 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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