(5y-4)+(2x+13)=180

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Solution for (5y-4)+(2x+13)=180 equation:


Simplifying
(5y + -4) + (2x + 13) = 180

Reorder the terms:
(-4 + 5y) + (2x + 13) = 180

Remove parenthesis around (-4 + 5y)
-4 + 5y + (2x + 13) = 180

Reorder the terms:
-4 + 5y + (13 + 2x) = 180

Remove parenthesis around (13 + 2x)
-4 + 5y + 13 + 2x = 180

Reorder the terms:
-4 + 13 + 2x + 5y = 180

Combine like terms: -4 + 13 = 9
9 + 2x + 5y = 180

Solving
9 + 2x + 5y = 180

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + 2x + -9 + 5y = 180 + -9

Reorder the terms:
9 + -9 + 2x + 5y = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 2x + 5y = 180 + -9
2x + 5y = 180 + -9

Combine like terms: 180 + -9 = 171
2x + 5y = 171

Add '-5y' to each side of the equation.
2x + 5y + -5y = 171 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 171 + -5y
2x = 171 + -5y

Divide each side by '2'.
x = 85.5 + -2.5y

Simplifying
x = 85.5 + -2.5y

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