Solve for x -10=xy+z for x

$- 10 = x y + z$ for $x$

Step 1

Rewrite the equation as $x y + z = - 10$ .

$x y + z = - 10$

Step 2

Subtract $z$ from both sides of the equation.

$x y = - 10 - z$

Step 3

Divide each term in $x y = - 10 - z$ by $y$ and simplify.

Divide each term in $x y = - 10 - z$ by $y$ .

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

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

Move the negative in front of the fraction.

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