4x-3y=5x+2y

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


Simplifying
4x + -3y = 5x + 2y

Solving
4x + -3y = 5x + 2y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4x + -5x + -3y = 5x + -5x + 2y

Combine like terms: 4x + -5x = -1x
-1x + -3y = 5x + -5x + 2y

Combine like terms: 5x + -5x = 0
-1x + -3y = 0 + 2y
-1x + -3y = 2y

Add '3y' to each side of the equation.
-1x + -3y + 3y = 2y + 3y

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

Combine like terms: 2y + 3y = 5y
-1x = 5y

Divide each side by '-1'.
x = -5y

Simplifying
x = -5y

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