# Question #a0726

Sep 4, 2017

$t = \frac{75}{56}$

#### Explanation:

Add $\frac{5}{7}$ to both sides

$t = \frac{5}{8} + \frac{5}{7}$

You have $- \frac{5}{7} + \frac{5}{7} = 0$ on the left side; $\frac{5}{8} + \frac{5}{7}$ requires finding of common denominators.

$\frac{35}{56} + \frac{40}{56} = \frac{75}{56}$

So

$t = \frac{75}{56}$

Sep 18, 2017

$t = 9 \frac{3}{8}$

#### Explanation:

In the absence of any formatting or parentheses, I wonder if you meant the question to be as follows? It is solved below, just in case.

$\frac{t - 5}{7} = \frac{5}{8}$

There is only one fraction on each side of the equation, so you can cross-multiply

$8 \left(t - 5\right) = 7 \times 5$

$8 t - 40 = 35 \text{ } \leftarrow$ add 40 to both sides

$8 t = 35 + 40$

$8 t = 75 \text{ } \leftarrow$ divide both sides by 8

$t = \frac{75}{8}$

$t = 9 \frac{3}{8}$