(2x-15)+(2y+x)+(-2y+3x)=180

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Solution for (2x-15)+(2y+x)+(-2y+3x)=180 equation: 


Simplifying
(2x + -15) + (2y + x) + (-2y + 3x) = 180

Reorder the terms:
(-15 + 2x) + (2y + x) + (-2y + 3x) = 180

Remove parenthesis around (-15 + 2x)
-15 + 2x + (2y + x) + (-2y + 3x) = 180

Reorder the terms:
-15 + 2x + (x + 2y) + (-2y + 3x) = 180

Remove parenthesis around (x + 2y)
-15 + 2x + x + 2y + (-2y + 3x) = 180

Reorder the terms:
-15 + 2x + x + 2y + (3x + -2y) = 180

Remove parenthesis around (3x + -2y)
-15 + 2x + x + 2y + 3x + -2y = 180

Reorder the terms:
-15 + 2x + x + 3x + 2y + -2y = 180

Combine like terms: 2x + x = 3x
-15 + 3x + 3x + 2y + -2y = 180

Combine like terms: 3x + 3x = 6x
-15 + 6x + 2y + -2y = 180

Combine like terms: 2y + -2y = 0
-15 + 6x + 0 = 180
-15 + 6x = 180

Solving
-15 + 6x = 180

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 6x = 180 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 180 + 15
6x = 180 + 15

Combine like terms: 180 + 15 = 195
6x = 195

Divide each side by '6'.
x = 32.5

Simplifying
x = 32.5

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