(7x+9)+(3y-4)+(x+y)=180

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Solution for (7x+9)+(3y-4)+(x+y)=180 equation:


Simplifying
(7x + 9) + (3y + -4) + (x + y) = 180

Reorder the terms:
(9 + 7x) + (3y + -4) + (x + y) = 180

Remove parenthesis around (9 + 7x)
9 + 7x + (3y + -4) + (x + y) = 180

Reorder the terms:
9 + 7x + (-4 + 3y) + (x + y) = 180

Remove parenthesis around (-4 + 3y)
9 + 7x + -4 + 3y + (x + y) = 180

Remove parenthesis around (x + y)
9 + 7x + -4 + 3y + x + y = 180

Reorder the terms:
9 + -4 + 7x + x + 3y + y = 180

Combine like terms: 9 + -4 = 5
5 + 7x + x + 3y + y = 180

Combine like terms: 7x + x = 8x
5 + 8x + 3y + y = 180

Combine like terms: 3y + y = 4y
5 + 8x + 4y = 180

Solving
5 + 8x + 4y = 180

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + 8x + -5 + 4y = 180 + -5

Reorder the terms:
5 + -5 + 8x + 4y = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 8x + 4y = 180 + -5
8x + 4y = 180 + -5

Combine like terms: 180 + -5 = 175
8x + 4y = 175

Add '-4y' to each side of the equation.
8x + 4y + -4y = 175 + -4y

Combine like terms: 4y + -4y = 0
8x + 0 = 175 + -4y
8x = 175 + -4y

Divide each side by '8'.
x = 21.875 + -0.5y

Simplifying
x = 21.875 + -0.5y

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