-2(x+3y)=x+6y

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Solution for -2(x+3y)=x+6y equation:


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

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

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 + -6y = x + -1x + 6y

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

Combine like terms: x + -1x = 0
-3x + -6y = 0 + 6y
-3x + -6y = 6y

Add '6y' to each side of the equation.
-3x + -6y + 6y = 6y + 6y

Combine like terms: -6y + 6y = 0
-3x + 0 = 6y + 6y
-3x = 6y + 6y

Combine like terms: 6y + 6y = 12y
-3x = 12y

Divide each side by '-3'.
x = -4y

Simplifying
x = -4y

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