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

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


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

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

Reorder the terms:
5 + 1x + 5(-9 + x) = 2(x + 8) + -2x + 5
5 + 1x + (-9 * 5 + x * 5) = 2(x + 8) + -2x + 5
5 + 1x + (-45 + 5x) = 2(x + 8) + -2x + 5

Reorder the terms:
5 + -45 + 1x + 5x = 2(x + 8) + -2x + 5

Combine like terms: 5 + -45 = -40
-40 + 1x + 5x = 2(x + 8) + -2x + 5

Combine like terms: 1x + 5x = 6x
-40 + 6x = 2(x + 8) + -2x + 5

Reorder the terms:
-40 + 6x = 2(8 + x) + -2x + 5
-40 + 6x = (8 * 2 + x * 2) + -2x + 5
-40 + 6x = (16 + 2x) + -2x + 5

Reorder the terms:
-40 + 6x = 16 + 5 + 2x + -2x

Combine like terms: 16 + 5 = 21
-40 + 6x = 21 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + 6x = 21 + 0
-40 + 6x = 21

Solving
-40 + 6x = 21

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 6x = 21 + 40

Combine like terms: -40 + 40 = 0
0 + 6x = 21 + 40
6x = 21 + 40

Combine like terms: 21 + 40 = 61
6x = 61

Divide each side by '6'.
x = 10.16666667

Simplifying
x = 10.16666667

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