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

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


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

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

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

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

Combine like terms: 8 + 8 = 16
16 + 3 + -5x + -2x = -5(x + -9) + -1(5x + 7) + 2

Combine like terms: 16 + 3 = 19
19 + -5x + -2x = -5(x + -9) + -1(5x + 7) + 2

Combine like terms: -5x + -2x = -7x
19 + -7x = -5(x + -9) + -1(5x + 7) + 2

Reorder the terms:
19 + -7x = -5(-9 + x) + -1(5x + 7) + 2
19 + -7x = (-9 * -5 + x * -5) + -1(5x + 7) + 2
19 + -7x = (45 + -5x) + -1(5x + 7) + 2

Reorder the terms:
19 + -7x = 45 + -5x + -1(7 + 5x) + 2
19 + -7x = 45 + -5x + (7 * -1 + 5x * -1) + 2
19 + -7x = 45 + -5x + (-7 + -5x) + 2

Reorder the terms:
19 + -7x = 45 + -7 + 2 + -5x + -5x

Combine like terms: 45 + -7 = 38
19 + -7x = 38 + 2 + -5x + -5x

Combine like terms: 38 + 2 = 40
19 + -7x = 40 + -5x + -5x

Combine like terms: -5x + -5x = -10x
19 + -7x = 40 + -10x

Solving
19 + -7x = 40 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
19 + -7x + 10x = 40 + -10x + 10x

Combine like terms: -7x + 10x = 3x
19 + 3x = 40 + -10x + 10x

Combine like terms: -10x + 10x = 0
19 + 3x = 40 + 0
19 + 3x = 40

Add '-19' to each side of the equation.
19 + -19 + 3x = 40 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 40 + -19
3x = 40 + -19

Combine like terms: 40 + -19 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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