# How do you solve 10 + 2/3t=6?

Jul 1, 2017

$- 6$

#### Explanation:

To isolate $t$, you must first subtract 10 from both sides of the equation:
$10 + t \frac{2}{3} - 10 = 6 - 10$
$\frac{2}{3} t = - 4$

Then, to cancel out the effect of the $\frac{2}{3}$ on the $t$, you can multiply both sides by the recipricol of 2/3 which is 3/2

$\left(\frac{2}{3} \cdot \frac{3}{2}\right) t = - 4 \cdot \frac{3}{2}$
$t = - \frac{12}{2}$
$t = - 6$