(5x-3y)=(x+6y)

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Solution for (5x-3y)=(x+6y) equation:


Simplifying
(5x + -3y) = (x + 6y)

Remove parenthesis around (5x + -3y)
5x + -3y = (x + 6y)

Remove parenthesis around (x + 6y)
5x + -3y = x + 6y

Solving
5x + -3y = x + 6y

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.
5x + -1x + -3y = x + -1x + 6y

Combine like terms: 5x + -1x = 4x
4x + -3y = x + -1x + 6y

Combine like terms: x + -1x = 0
4x + -3y = 0 + 6y
4x + -3y = 6y

Add '3y' to each side of the equation.
4x + -3y + 3y = 6y + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 6y + 3y
4x = 6y + 3y

Combine like terms: 6y + 3y = 9y
4x = 9y

Divide each side by '4'.
x = 2.25y

Simplifying
x = 2.25y

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