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

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


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

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

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

Solving
3x + 5y = x + y

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

Combine like terms: 3x + -1x = 2x
2x + 5y = x + -1x + y

Combine like terms: x + -1x = 0
2x + 5y = 0 + y
2x + 5y = y

Add '-5y' to each side of the equation.
2x + 5y + -5y = y + -5y

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

Combine like terms: y + -5y = -4y
2x = -4y

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

Simplifying
x = -2y

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