2X+2Y=X+3Y+1

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Solution for 2X+2Y=X+3Y+1 equation: 


Simplifying
2X + 2Y = X + 3Y + 1

Reorder the terms:
2X + 2Y = 1 + X + 3Y

Solving
2X + 2Y = 1 + 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 = 1 + X + -1X + 3Y

Combine like terms: 2X + -1X = 1X
1X + 2Y = 1 + X + -1X + 3Y

Combine like terms: X + -1X = 0
1X + 2Y = 1 + 0 + 3Y
1X + 2Y = 1 + 3Y

Add '-2Y' to each side of the equation.
1X + 2Y + -2Y = 1 + 3Y + -2Y

Combine like terms: 2Y + -2Y = 0
1X + 0 = 1 + 3Y + -2Y
1X = 1 + 3Y + -2Y

Combine like terms: 3Y + -2Y = 1Y
1X = 1 + 1Y

Divide each side by '1'.
X = 1 + 1Y

Simplifying
X = 1 + 1Y

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