Solve xy/2x=3x-12

$$\frac { x y } { 2 x } = 3 x - 12$$

Solve for y

$$y=6\left(x-4\right)$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2x.

$$xy=3x\times 2x+2x\left(-12\right)$$

Multiply x and x to get x^{2}.

$$xy=3x^{2}\times 2+2x\left(-12\right)$$

Multiply 3 and 2 to get 6.

$$xy=6x^{2}+2x\left(-12\right)$$

Multiply 2 and -12 to get -24.

$$xy=6x^{2}-24x$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{6x\left(x-4\right)}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{6x\left(x-4\right)}{x}$$

Divide 6x\left(-4+x\right) by x.

$$y=6x-24$$

Solve for x

$$x=\frac{y+24}{6}$$

$$y\neq -24$$