3(x-2y)=-12(x+2y)

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Solution for 3(x-2y)=-12(x+2y) equation:


Simplifying
3(x + -2y) = -12(x + 2y)
(x * 3 + -2y * 3) = -12(x + 2y)
(3x + -6y) = -12(x + 2y)
3x + -6y = (x * -12 + 2y * -12)
3x + -6y = (-12x + -24y)

Solving
3x + -6y = -12x + -24y

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
3x + 12x + -6y = -12x + 12x + -24y

Combine like terms: 3x + 12x = 15x
15x + -6y = -12x + 12x + -24y

Combine like terms: -12x + 12x = 0
15x + -6y = 0 + -24y
15x + -6y = -24y

Add '6y' to each side of the equation.
15x + -6y + 6y = -24y + 6y

Combine like terms: -6y + 6y = 0
15x + 0 = -24y + 6y
15x = -24y + 6y

Combine like terms: -24y + 6y = -18y
15x = -18y

Divide each side by '15'.
x = -1.2y

Simplifying
x = -1.2y

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