# How do you solve 6a - 7/8 = -12/5?

Mar 10, 2016

$a = \frac{- 61}{240}$

#### Explanation:

$6 a - \frac{7}{8} = - \frac{12}{5}$

$6 a = - \frac{12}{5} + \frac{7}{8}$

The L.C.M of $5$ and $8 = 40$

$6 a = - \frac{12}{5} + \frac{7}{8}$

$6 a = \frac{- 12 \cdot 8}{5 \cdot 8} + \frac{7 \cdot 5}{8 \cdot 5}$

$6 a = \frac{- 96}{40} + \frac{35}{40}$

$6 a = \frac{- 61}{40}$

$a = \frac{- 61}{40 \cdot 6}$

$a = \frac{- 61}{240}$