4x+(6x+y)=(x+5y)

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Solution for 4x+(6x+y)=(x+5y) equation:


Simplifying
4x + (6x + y) = (x + 5y)

Remove parenthesis around (6x + y)
4x + 6x + y = (x + 5y)

Combine like terms: 4x + 6x = 10x
10x + y = (x + 5y)

Remove parenthesis around (x + 5y)
10x + y = x + 5y

Solving
10x + 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.
10x + -1x + y = x + -1x + 5y

Combine like terms: 10x + -1x = 9x
9x + y = x + -1x + 5y

Combine like terms: x + -1x = 0
9x + y = 0 + 5y
9x + y = 5y

Add '-1y' to each side of the equation.
9x + y + -1y = 5y + -1y

Combine like terms: y + -1y = 0
9x + 0 = 5y + -1y
9x = 5y + -1y

Combine like terms: 5y + -1y = 4y
9x = 4y

Divide each side by '9'.
x = 0.4444444444y

Simplifying
x = 0.4444444444y

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