# How do you simplify 5(u-5)-5=-6(-5u+6)-9u?

Dec 17, 2016

$u = \frac{3}{8}$

#### Explanation:

First, on each side of the equation, expand the terms in parenthesis and then group and combine like terms:

$5 u - 25 - 5 = 30 u - 36 - 9 u$

$5 u + \left(- 25 - 5\right) = 30 u - 9 u - 36$

$5 u - 30 = \left(30 - 9\right) u - 36$

$5 u - 30 = 21 u - 36$

Now we can isolate the $u$ term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$5 u - 5 u - 30 + 36 = 21 u - 5 u - 36 + 36$

$0 - 30 + 36 = \left(21 u - 5 u\right) - 0$

$6 = 16 u$

Next, we can solve for $u$ while keeping the equation balanced:

$\frac{6}{16} = \left(16 \frac{u}{16}\right)$

$\frac{3}{8} = \frac{\cancel{16} u}{\cancel{16}}$

$\frac{3}{8} = u$