3x+5(9y)=5x+2(9y)

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Solution for 3x+5(9y)=5x+2(9y) equation:


Simplifying
3x + 5(9y) = 5x + 2(9y)

Remove parenthesis around (9y)
3x + 5 * 9y = 5x + 2(9y)

Multiply 5 * 9
3x + 45y = 5x + 2(9y)

Remove parenthesis around (9y)
3x + 45y = 5x + 2 * 9y

Multiply 2 * 9
3x + 45y = 5x + 18y

Solving
3x + 45y = 5x + 18y

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.
3x + -5x + 45y = 5x + -5x + 18y

Combine like terms: 3x + -5x = -2x
-2x + 45y = 5x + -5x + 18y

Combine like terms: 5x + -5x = 0
-2x + 45y = 0 + 18y
-2x + 45y = 18y

Add '-45y' to each side of the equation.
-2x + 45y + -45y = 18y + -45y

Combine like terms: 45y + -45y = 0
-2x + 0 = 18y + -45y
-2x = 18y + -45y

Combine like terms: 18y + -45y = -27y
-2x = -27y

Divide each side by '-2'.
x = 13.5y

Simplifying
x = 13.5y

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