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

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


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

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

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

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

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

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

Combine like terms: -5 + 3 = -2
-2 + 8x + 5x = 180

Combine like terms: 8x + 5x = 13x
-2 + 13x = 180

Solving
-2 + 13x = 180

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 13x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 180 + 2
13x = 180 + 2

Combine like terms: 180 + 2 = 182
13x = 182

Divide each side by '13'.
x = 14

Simplifying
x = 14

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