12x+5y=3x-10y

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Solution for 12x+5y=3x-10y equation:


Simplifying
12x + 5y = 3x + -10y

Solving
12x + 5y = 3x + -10y

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 + 5y = 3x + -3x + -10y

Combine like terms: 12x + -3x = 9x
9x + 5y = 3x + -3x + -10y

Combine like terms: 3x + -3x = 0
9x + 5y = 0 + -10y
9x + 5y = -10y

Add '-5y' to each side of the equation.
9x + 5y + -5y = -10y + -5y

Combine like terms: 5y + -5y = 0
9x + 0 = -10y + -5y
9x = -10y + -5y

Combine like terms: -10y + -5y = -15y
9x = -15y

Divide each side by '9'.
x = -1.666666667y

Simplifying
x = -1.666666667y

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