(7x+9)+(11x-1)+(7y-4)+(2y+5)=360

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Solution for (7x+9)+(11x-1)+(7y-4)+(2y+5)=360 equation:


Simplifying
(7x + 9) + (11x + -1) + (7y + -4) + (2y + 5) = 360

Reorder the terms:
(9 + 7x) + (11x + -1) + (7y + -4) + (2y + 5) = 360

Remove parenthesis around (9 + 7x)
9 + 7x + (11x + -1) + (7y + -4) + (2y + 5) = 360

Reorder the terms:
9 + 7x + (-1 + 11x) + (7y + -4) + (2y + 5) = 360

Remove parenthesis around (-1 + 11x)
9 + 7x + -1 + 11x + (7y + -4) + (2y + 5) = 360

Reorder the terms:
9 + 7x + -1 + 11x + (-4 + 7y) + (2y + 5) = 360

Remove parenthesis around (-4 + 7y)
9 + 7x + -1 + 11x + -4 + 7y + (2y + 5) = 360

Reorder the terms:
9 + 7x + -1 + 11x + -4 + 7y + (5 + 2y) = 360

Remove parenthesis around (5 + 2y)
9 + 7x + -1 + 11x + -4 + 7y + 5 + 2y = 360

Reorder the terms:
9 + -1 + -4 + 5 + 7x + 11x + 7y + 2y = 360

Combine like terms: 9 + -1 = 8
8 + -4 + 5 + 7x + 11x + 7y + 2y = 360

Combine like terms: 8 + -4 = 4
4 + 5 + 7x + 11x + 7y + 2y = 360

Combine like terms: 4 + 5 = 9
9 + 7x + 11x + 7y + 2y = 360

Combine like terms: 7x + 11x = 18x
9 + 18x + 7y + 2y = 360

Combine like terms: 7y + 2y = 9y
9 + 18x + 9y = 360

Solving
9 + 18x + 9y = 360

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 + 18x + -9 + 9y = 360 + -9

Reorder the terms:
9 + -9 + 18x + 9y = 360 + -9

Combine like terms: 9 + -9 = 0
0 + 18x + 9y = 360 + -9
18x + 9y = 360 + -9

Combine like terms: 360 + -9 = 351
18x + 9y = 351

Add '-9y' to each side of the equation.
18x + 9y + -9y = 351 + -9y

Combine like terms: 9y + -9y = 0
18x + 0 = 351 + -9y
18x = 351 + -9y

Divide each side by '18'.
x = 19.5 + -0.5y

Simplifying
x = 19.5 + -0.5y

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