65X+30Y=45(X+Y)

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Solution for 65X+30Y=45(X+Y) equation: 


Simplifying
65X + 30Y = 45(X + Y)
65X + 30Y = (X * 45 + Y * 45)
65X + 30Y = (45X + 45Y)

Solving
65X + 30Y = 45X + 45Y

Solving for variable 'X'.

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

Add '-45X' to each side of the equation.
65X + -45X + 30Y = 45X + -45X + 45Y

Combine like terms: 65X + -45X = 20X
20X + 30Y = 45X + -45X + 45Y

Combine like terms: 45X + -45X = 0
20X + 30Y = 0 + 45Y
20X + 30Y = 45Y

Add '-30Y' to each side of the equation.
20X + 30Y + -30Y = 45Y + -30Y

Combine like terms: 30Y + -30Y = 0
20X + 0 = 45Y + -30Y
20X = 45Y + -30Y

Combine like terms: 45Y + -30Y = 15Y
20X = 15Y

Divide each side by '20'.
X = 0.75Y

Simplifying
X = 0.75Y

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