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

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


Simplifying
3(x + 2y) = 2x + y
(x * 3 + 2y * 3) = 2x + y
(3x + 6y) = 2x + y

Solving
3x + 6y = 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 + 6y = 2x + -2x + y

Combine like terms: 3x + -2x = 1x
1x + 6y = 2x + -2x + y

Combine like terms: 2x + -2x = 0
1x + 6y = 0 + y
1x + 6y = y

Add '-6y' to each side of the equation.
1x + 6y + -6y = y + -6y

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

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

Divide each side by '1'.
x = -5y

Simplifying
x = -5y

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