(2x-5)+x=(8x+20)+32

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Solution for (2x-5)+x=(8x+20)+32 equation:


Simplifying
(2x + -5) + x = (8x + 20) + 32

Reorder the terms:
(-5 + 2x) + x = (8x + 20) + 32

Remove parenthesis around (-5 + 2x)
-5 + 2x + x = (8x + 20) + 32

Combine like terms: 2x + x = 3x
-5 + 3x = (8x + 20) + 32

Reorder the terms:
-5 + 3x = (20 + 8x) + 32

Remove parenthesis around (20 + 8x)
-5 + 3x = 20 + 8x + 32

Reorder the terms:
-5 + 3x = 20 + 32 + 8x

Combine like terms: 20 + 32 = 52
-5 + 3x = 52 + 8x

Solving
-5 + 3x = 52 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 3x + -8x = 52 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-5 + -5x = 52 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -5x = 52 + 0
-5 + -5x = 52

Add '5' to each side of the equation.
-5 + 5 + -5x = 52 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = 52 + 5
-5x = 52 + 5

Combine like terms: 52 + 5 = 57
-5x = 57

Divide each side by '-5'.
x = -11.4

Simplifying
x = -11.4

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