(2x+30)+(5y+20)=180

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Solution for (2x+30)+(5y+20)=180 equation: 


Simplifying
(2x + 30) + (5y + 20) = 180

Reorder the terms:
(30 + 2x) + (5y + 20) = 180

Remove parenthesis around (30 + 2x)
30 + 2x + (5y + 20) = 180

Reorder the terms:
30 + 2x + (20 + 5y) = 180

Remove parenthesis around (20 + 5y)
30 + 2x + 20 + 5y = 180

Reorder the terms:
30 + 20 + 2x + 5y = 180

Combine like terms: 30 + 20 = 50
50 + 2x + 5y = 180

Solving
50 + 2x + 5y = 180

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + 2x + -50 + 5y = 180 + -50

Reorder the terms:
50 + -50 + 2x + 5y = 180 + -50

Combine like terms: 50 + -50 = 0
0 + 2x + 5y = 180 + -50
2x + 5y = 180 + -50

Combine like terms: 180 + -50 = 130
2x + 5y = 130

Add '-5y' to each side of the equation.
2x + 5y + -5y = 130 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 130 + -5y
2x = 130 + -5y

Divide each side by '2'.
x = 65 + -2.5y

Simplifying
x = 65 + -2.5y

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