2X+2Y=4X-5Y

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Solution for 2X+2Y=4X-5Y equation: 


Simplifying
2X + 2Y = 4X + -5Y

Solving
2X + 2Y = 4X + -5Y

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
2X + -4X + 2Y = 4X + -4X + -5Y

Combine like terms: 2X + -4X = -2X
-2X + 2Y = 4X + -4X + -5Y

Combine like terms: 4X + -4X = 0
-2X + 2Y = 0 + -5Y
-2X + 2Y = -5Y

Add '-2Y' to each side of the equation.
-2X + 2Y + -2Y = -5Y + -2Y

Combine like terms: 2Y + -2Y = 0
-2X + 0 = -5Y + -2Y
-2X = -5Y + -2Y

Combine like terms: -5Y + -2Y = -7Y
-2X = -7Y

Divide each side by '-2'.
X = 3.5Y

Simplifying
X = 3.5Y

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