Solve xy+2x=10

$$x y + 2 x = 10$$

Solve for x

$$x=\frac{10}{y+2}$$

$$y\neq -2$$

Steps for Solving Linear Equation

Combine all terms containing x.

$$\left(y+2\right)x=10$$

Divide both sides by y+2.

$$\frac{\left(y+2\right)x}{y+2}=\frac{10}{y+2}$$

Dividing by y+2 undoes the multiplication by y+2.

$$x=\frac{10}{y+2}$$

Solve for y

$$y=-2+\frac{10}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$xy=10-2x$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{10-2x}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{10-2x}{x}$$

Divide 10-2x by x.

$$y=-2+\frac{10}{x}$$