To solve for x, you undo what was done to x. The variable x is ...
- multiplied by y
- added to z
You "undo" these operations in the reverse order, so first we undo the addition of z. We accomplish that by adding the opposite of z:
... -10 -z = xy
Now, we undo the multiplication by y. We accomplish that by multipying by the reciprocal of y.
... (-10 -z)/y = x
We can rearrange this, if you like.
![x=(-10-z)/(y)](https://img.qammunity.org/2019/formulas/mathematics/college/cgf4sgbea1snu2txiby28s1sen551sbo7x.png)
And, if you want, you can factor out the minus sign.
![x=-\left((z+10)/(y)\right)](https://img.qammunity.org/2019/formulas/mathematics/college/di8qnzgqzd6xege4huuhgila7dp4am68dr.png)