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

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


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

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

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

Solving
2x + y = x + 5y

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.
2x + -1x + y = x + -1x + 5y

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

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

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

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

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

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

Simplifying
x = 4y

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