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

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


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

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

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

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

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

Reorder the terms:
3 + 2x = (20 + 8x) + 32

Remove parenthesis around (20 + 8x)
3 + 2x = 20 + 8x + 32

Reorder the terms:
3 + 2x = 20 + 32 + 8x

Combine like terms: 20 + 32 = 52
3 + 2x = 52 + 8x

Solving
3 + 2x = 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.
3 + 2x + -8x = 52 + 8x + -8x

Combine like terms: 2x + -8x = -6x
3 + -6x = 52 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -6x = 52 + 0
3 + -6x = 52

Add '-3' to each side of the equation.
3 + -3 + -6x = 52 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 52 + -3
-6x = 52 + -3

Combine like terms: 52 + -3 = 49
-6x = 49

Divide each side by '-6'.
x = -8.166666667

Simplifying
x = -8.166666667

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