12x+15y=3x-12y

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Solution for 12x+15y=3x-12y equation:


Simplifying
12x + 15y = 3x + -12y

Solving
12x + 15y = 3x + -12y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12x + -3x + 15y = 3x + -3x + -12y

Combine like terms: 12x + -3x = 9x
9x + 15y = 3x + -3x + -12y

Combine like terms: 3x + -3x = 0
9x + 15y = 0 + -12y
9x + 15y = -12y

Add '-15y' to each side of the equation.
9x + 15y + -15y = -12y + -15y

Combine like terms: 15y + -15y = 0
9x + 0 = -12y + -15y
9x = -12y + -15y

Combine like terms: -12y + -15y = -27y
9x = -27y

Divide each side by '9'.
x = -3y

Simplifying
x = -3y

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