How do you solve for u in 2(u+3v)=w-5u?

Jul 28, 2016

To solve for $u$, isolate $u$ on one side of the equation.

Explanation:

First, let's use the distributive property to simplify the equation:

$2 u + 6 v = w - 5 u$

Next, let's add 5u to each side:

$7 u + 6 v = w$

Next, let's subtract 6v from each side:

$7 u = w - 6 v$

Finally, divide each side by 7 to get our answer:

$u = \frac{w - 6 v}{7}$