(20x-32)=(9x-5)+8x

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Solution for (20x-32)=(9x-5)+8x equation:


Simplifying
(20x + -32) = (9x + -5) + 8x

Reorder the terms:
(-32 + 20x) = (9x + -5) + 8x

Remove parenthesis around (-32 + 20x)
-32 + 20x = (9x + -5) + 8x

Reorder the terms:
-32 + 20x = (-5 + 9x) + 8x

Remove parenthesis around (-5 + 9x)
-32 + 20x = -5 + 9x + 8x

Combine like terms: 9x + 8x = 17x
-32 + 20x = -5 + 17x

Solving
-32 + 20x = -5 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-32 + 20x + -17x = -5 + 17x + -17x

Combine like terms: 20x + -17x = 3x
-32 + 3x = -5 + 17x + -17x

Combine like terms: 17x + -17x = 0
-32 + 3x = -5 + 0
-32 + 3x = -5

Add '32' to each side of the equation.
-32 + 32 + 3x = -5 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = -5 + 32
3x = -5 + 32

Combine like terms: -5 + 32 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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