Answer:
![u = -(vx)/(w)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xm8pb9nry34lpyr84tie8919l238vyq6zv.png)
Explanation:
You are allowed to multiply and divide both sides of an equation by the same non-zero number or non-zero variable. Do the appropriate operations to isolate the u.
![x = -(1)/(v)uw](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ko3vztbxsz5ee05f17tk53oysn7hvlyfs6.png)
We are solving for u, so first, switch sides.
![-(1)/(v)uw = x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4wx6ajgwb99o8056xuqlattzsmd6axekzw.png)
Multiply both sides by v.
![-(1)/(v)uw * v = x * v](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ovtikhbqyhsa5j3cp50c2wg3apx9wfldbv.png)
![-uw = x * v](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y54f4ke2xrao3bqqhyznuzvjicubbtlz2f.png)
Divide both sides by -w.
![(-uw)/(-w) = (xv)/(-w)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h3jxryazyw817d1sm2j3n9bitxtp3rc6r0.png)
![u = -(vx)/(w)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xm8pb9nry34lpyr84tie8919l238vyq6zv.png)