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

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


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

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

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

Solving
3x + 5y = 2x + y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3x + -2x + 5y = 2x + -2x + y

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

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

Add '-5y' to each side of the equation.
1x + 5y + -5y = y + -5y

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

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

Divide each side by '1'.
x = -4y

Simplifying
x = -4y

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