(5x+3)+(9x-5)=180

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Solution for (5x+3)+(9x-5)=180 equation:


Simplifying
(5x + 3) + (9x + -5) = 180

Reorder the terms:
(3 + 5x) + (9x + -5) = 180

Remove parenthesis around (3 + 5x)
3 + 5x + (9x + -5) = 180

Reorder the terms:
3 + 5x + (-5 + 9x) = 180

Remove parenthesis around (-5 + 9x)
3 + 5x + -5 + 9x = 180

Reorder the terms:
3 + -5 + 5x + 9x = 180

Combine like terms: 3 + -5 = -2
-2 + 5x + 9x = 180

Combine like terms: 5x + 9x = 14x
-2 + 14x = 180

Solving
-2 + 14x = 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 + 14x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 14x = 180 + 2
14x = 180 + 2

Combine like terms: 180 + 2 = 182
14x = 182

Divide each side by '14'.
x = 13

Simplifying
x = 13

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