2x+2y=x+3y

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


Simplifying
2x + 2y = x + 3y

Solving
2x + 2y = x + 3y

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 1y

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