# How do you solve for x in -10=xy+z?

Perform algebraic actions to move x to one side of the equal sign and all other terms onto the other and get $x = \frac{- 10 - z}{y}$

#### Explanation:

When asked to solve for something, you want to have that "something" on one side of the equal sign and everything else on the other.

$- 10 = x y + z$

To solve for x, we want x by itself and everything else on the other side of the equal sign. The first thing we should do is move all the terms that don't have x in them to one side and all the terms with x on the other, like this:

$- 10 - z = x y$ (we subtracted z from both sides of the equation)

Now we can divide by y to put that on the other side of the equal sign:

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

And lastly, usually we put the thing we're solving for on the left side and everything else on the right, so let's rewrite as:

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