x+2y=5x+3y

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


Simplifying
x + 2y = 5x + 3y

Solving
x + 2y = 5x + 3y

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.
x + -5x + 2y = 5x + -5x + 3y

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

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

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

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

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

Divide each side by '-4'.
x = -0.25y

Simplifying
x = -0.25y

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