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

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


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

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

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

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

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

Reorder the terms:
-5 + 17x = (-32 + 20x)

Remove parenthesis around (-32 + 20x)
-5 + 17x = -32 + 20x

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

Solving for variable 'x'.

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

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

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

Combine like terms: 20x + -20x = 0
-5 + -3x = -32 + 0
-5 + -3x = -32

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

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

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

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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