(4x-5y+2)+(3y-2x-2)=0

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Solution for (4x-5y+2)+(3y-2x-2)=0 equation:


Simplifying
(4x + -5y + 2) + (3y + -2x + -2) = 0

Reorder the terms:
(2 + 4x + -5y) + (3y + -2x + -2) = 0

Remove parenthesis around (2 + 4x + -5y)
2 + 4x + -5y + (3y + -2x + -2) = 0

Reorder the terms:
2 + 4x + -5y + (-2 + -2x + 3y) = 0

Remove parenthesis around (-2 + -2x + 3y)
2 + 4x + -5y + -2 + -2x + 3y = 0

Reorder the terms:
2 + -2 + 4x + -2x + -5y + 3y = 0

Combine like terms: 2 + -2 = 0
0 + 4x + -2x + -5y + 3y = 0
4x + -2x + -5y + 3y = 0

Combine like terms: 4x + -2x = 2x
2x + -5y + 3y = 0

Combine like terms: -5y + 3y = -2y
2x + -2y = 0

Solving
2x + -2y = 0

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
2x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
2x + 0 = 0 + 2y
2x = 0 + 2y
Remove the zero:
2x = 2y

Divide each side by '2'.
x = y

Simplifying
x = y

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