Solve y=2x-x/x+2

$$y = \frac { 2 x - x } { x + 2 }$$

Solve for x

$$x=-\frac{2y}{y-1}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$y\left(x+2\right)=2x-x$$

Use the distributive property to multiply y by x+2.

$$yx+2y=2x-x$$

Combine 2x and -x to get x.

$$yx+2y=x$$

Subtract x from both sides.

$$yx+2y-x=0$$

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$yx-x=-2y$$

Combine all terms containing x.

$$\left(y-1\right)x=-2y$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=-\frac{2y}{y-1}$$

Dividing by y-1 undoes the multiplication by y-1.

$$x=-\frac{2y}{y-1}$$

Variable x cannot be equal to -2.

$$x=-\frac{2y}{y-1}\text{, }x\neq -2$$

Solve for y

$$y=\frac{x}{x+2}$$

$$x\neq -2$$