(5x+13)+(3x-5)=180

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Solution for (5x+13)+(3x-5)=180 equation:


Simplifying
(5x + 13) + (3x + -5) = 180

Reorder the terms:
(13 + 5x) + (3x + -5) = 180

Remove parenthesis around (13 + 5x)
13 + 5x + (3x + -5) = 180

Reorder the terms:
13 + 5x + (-5 + 3x) = 180

Remove parenthesis around (-5 + 3x)
13 + 5x + -5 + 3x = 180

Reorder the terms:
13 + -5 + 5x + 3x = 180

Combine like terms: 13 + -5 = 8
8 + 5x + 3x = 180

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

Solving
8 + 8x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + -8 = 172
8x = 172

Divide each side by '8'.
x = 21.5

Simplifying
x = 21.5

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