(2y-3x)+(3y+5x)=(2)+(32)

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Solution for (2y-3x)+(3y+5x)=(2)+(32) equation: 


Simplifying
(2y + -3x) + (3y + 5x) = (2) + (32)

Reorder the terms:
(-3x + 2y) + (3y + 5x) = (2) + (32)

Remove parenthesis around (-3x + 2y)
-3x + 2y + (3y + 5x) = (2) + (32)

Reorder the terms:
-3x + 2y + (5x + 3y) = (2) + (32)

Remove parenthesis around (5x + 3y)
-3x + 2y + 5x + 3y = (2) + (32)

Reorder the terms:
-3x + 5x + 2y + 3y = (2) + (32)

Combine like terms: -3x + 5x = 2x
2x + 2y + 3y = (2) + (32)

Combine like terms: 2y + 3y = 5y
2x + 5y = (2) + (32)
2x + 5y = 2 + (32)
2x + 5y = 2 + 32

Combine like terms: 2 + 32 = 34
2x + 5y = 34

Solving
2x + 5y = 34

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
2x + 5y + -5y = 34 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 34 + -5y
2x = 34 + -5y

Divide each side by '2'.
x = 17 + -2.5y

Simplifying
x = 17 + -2.5y

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