(5x-8)+(3x+32)=180

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Solution for (5x-8)+(3x+32)=180 equation:


Simplifying
(5x + -8) + (3x + 32) = 180

Reorder the terms:
(-8 + 5x) + (3x + 32) = 180

Remove parenthesis around (-8 + 5x)
-8 + 5x + (3x + 32) = 180

Reorder the terms:
-8 + 5x + (32 + 3x) = 180

Remove parenthesis around (32 + 3x)
-8 + 5x + 32 + 3x = 180

Reorder the terms:
-8 + 32 + 5x + 3x = 180

Combine like terms: -8 + 32 = 24
24 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
24 + 8x = 180

Solving
24 + 8x = 180

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 8x = 180 + -24

Combine like terms: 24 + -24 = 0
0 + 8x = 180 + -24
8x = 180 + -24

Combine like terms: 180 + -24 = 156
8x = 156

Divide each side by '8'.
x = 19.5

Simplifying
x = 19.5

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