((x+1)+(3y))+((3x-1)+(5y+1))=360

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Solution for ((x+1)+(3y))+((3x-1)+(5y+1))=360 equation:


Simplifying
((x + 1) + (3y)) + ((3x + -1) + (5y + 1)) = 360

Reorder the terms:
((1 + x) + (3y)) + ((3x + -1) + (5y + 1)) = 360

Remove parenthesis around (1 + x)
(1 + x + (3y)) + ((3x + -1) + (5y + 1)) = 360

Remove parenthesis around (1 + x + (3y))
1 + x + (3y) + ((3x + -1) + (5y + 1)) = 360

Reorder the terms:
1 + x + (3y) + ((-1 + 3x) + (5y + 1)) = 360

Remove parenthesis around (-1 + 3x)
1 + x + (3y) + (-1 + 3x + (5y + 1)) = 360

Reorder the terms:
1 + x + (3y) + (-1 + 3x + (1 + 5y)) = 360

Remove parenthesis around (1 + 5y)
1 + x + (3y) + (-1 + 3x + 1 + 5y) = 360

Reorder the terms:
1 + x + (3y) + (-1 + 1 + 3x + 5y) = 360

Combine like terms: -1 + 1 = 0
1 + x + (3y) + (0 + 3x + 5y) = 360
1 + x + (3y) + (3x + 5y) = 360

Remove parenthesis around (3x + 5y)
1 + x + (3y) + 3x + 5y = 360

Reorder the terms:
1 + x + 3x + (3y) + 5y = 360

Combine like terms: x + 3x = 4x
1 + 4x + (3y) + 5y = 360

Combine like terms: (3y) + 5y = 8y
1 + 4x + 8y = 360

Solving
1 + 4x + 8y = 360

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 4x + -1 + 8y = 360 + -1

Reorder the terms:
1 + -1 + 4x + 8y = 360 + -1

Combine like terms: 1 + -1 = 0
0 + 4x + 8y = 360 + -1
4x + 8y = 360 + -1

Combine like terms: 360 + -1 = 359
4x + 8y = 359

Add '-8y' to each side of the equation.
4x + 8y + -8y = 359 + -8y

Combine like terms: 8y + -8y = 0
4x + 0 = 359 + -8y
4x = 359 + -8y

Divide each side by '4'.
x = 89.75 + -2y

Simplifying
x = 89.75 + -2y

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