(x+2)+(3x-2)+(2y+1)+(2x-3)=360

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Solution for (x+2)+(3x-2)+(2y+1)+(2x-3)=360 equation: 


Simplifying
(x + 2) + (3x + -2) + (2y + 1) + (2x + -3) = 360

Reorder the terms:
(2 + x) + (3x + -2) + (2y + 1) + (2x + -3) = 360

Remove parenthesis around (2 + x)
2 + x + (3x + -2) + (2y + 1) + (2x + -3) = 360

Reorder the terms:
2 + x + (-2 + 3x) + (2y + 1) + (2x + -3) = 360

Remove parenthesis around (-2 + 3x)
2 + x + -2 + 3x + (2y + 1) + (2x + -3) = 360

Reorder the terms:
2 + x + -2 + 3x + (1 + 2y) + (2x + -3) = 360

Remove parenthesis around (1 + 2y)
2 + x + -2 + 3x + 1 + 2y + (2x + -3) = 360

Reorder the terms:
2 + x + -2 + 3x + 1 + 2y + (-3 + 2x) = 360

Remove parenthesis around (-3 + 2x)
2 + x + -2 + 3x + 1 + 2y + -3 + 2x = 360

Reorder the terms:
2 + -2 + 1 + -3 + x + 3x + 2x + 2y = 360

Combine like terms: 2 + -2 = 0
0 + 1 + -3 + x + 3x + 2x + 2y = 360
1 + -3 + x + 3x + 2x + 2y = 360

Combine like terms: 1 + -3 = -2
-2 + x + 3x + 2x + 2y = 360

Combine like terms: x + 3x = 4x
-2 + 4x + 2x + 2y = 360

Combine like terms: 4x + 2x = 6x
-2 + 6x + 2y = 360

Solving
-2 + 6x + 2y = 360

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 6x + 2 + 2y = 360 + 2

Reorder the terms:
-2 + 2 + 6x + 2y = 360 + 2

Combine like terms: -2 + 2 = 0
0 + 6x + 2y = 360 + 2
6x + 2y = 360 + 2

Combine like terms: 360 + 2 = 362
6x + 2y = 362

Add '-2y' to each side of the equation.
6x + 2y + -2y = 362 + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = 362 + -2y
6x = 362 + -2y

Divide each side by '6'.
x = 60.33333333 + -0.3333333333y

Simplifying
x = 60.33333333 + -0.3333333333y

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