# How do you solve 4/5(x+5) = 7/8 (3x+23) - 7?

Feb 25, 2016

$x = - 5$

#### Explanation:

Very nice solution to this problem and I was impressed with the work you did with the fractions. A very common error occurred from line three to line four involving subtraction. Here's the error:
$+ \frac{161}{8} - 7$

$+ \frac{161}{8} - \frac{56}{8}$

$+ \frac{105}{8}$ not $- \frac{105}{8}$

So now the rest of the solution becomes:

$- \frac{105}{8} + 4 = \frac{21 x}{8} - \frac{4 x}{5}$

$- \frac{105}{8} + \frac{32}{8} = \frac{105 x}{8} - \frac{32 x}{8}$

$- \frac{73}{8} = \frac{73 x}{40}$

$- 5 = x$