(3y+5)+(2x+1)=180

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Solution for (3y+5)+(2x+1)=180 equation:


Simplifying
(3y + 5) + (2x + 1) = 180

Reorder the terms:
(5 + 3y) + (2x + 1) = 180

Remove parenthesis around (5 + 3y)
5 + 3y + (2x + 1) = 180

Reorder the terms:
5 + 3y + (1 + 2x) = 180

Remove parenthesis around (1 + 2x)
5 + 3y + 1 + 2x = 180

Reorder the terms:
5 + 1 + 2x + 3y = 180

Combine like terms: 5 + 1 = 6
6 + 2x + 3y = 180

Solving
6 + 2x + 3y = 180

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 2x + -6 + 3y = 180 + -6

Reorder the terms:
6 + -6 + 2x + 3y = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + 3y = 180 + -6
2x + 3y = 180 + -6

Combine like terms: 180 + -6 = 174
2x + 3y = 174

Add '-3y' to each side of the equation.
2x + 3y + -3y = 174 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 174 + -3y
2x = 174 + -3y

Divide each side by '2'.
x = 87 + -1.5y

Simplifying
x = 87 + -1.5y

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