(5x-20)-2x+18=8-(-x-8)

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Solution for (5x-20)-2x+18=8-(-x-8) equation:


Simplifying
(5x + -20) + -2x + 18 = 8 + -1(-1x + -8)

Reorder the terms:
(-20 + 5x) + -2x + 18 = 8 + -1(-1x + -8)

Remove parenthesis around (-20 + 5x)
-20 + 5x + -2x + 18 = 8 + -1(-1x + -8)

Reorder the terms:
-20 + 18 + 5x + -2x = 8 + -1(-1x + -8)

Combine like terms: -20 + 18 = -2
-2 + 5x + -2x = 8 + -1(-1x + -8)

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

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

Combine like terms: 8 + 8 = 16
-2 + 3x = 16 + 1x

Solving
-2 + 3x = 16 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 3x + -1x = 16 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-2 + 2x = 16 + 1x + -1x

Combine like terms: 1x + -1x = 0
-2 + 2x = 16 + 0
-2 + 2x = 16

Add '2' to each side of the equation.
-2 + 2 + 2x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 16 + 2
2x = 16 + 2

Combine like terms: 16 + 2 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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