# In the equation 3*(5*t + 2) = 36, what does t equal?

Oct 28, 2015

$t = 2$

#### Explanation:

To solve for $t$, we need to isolate it within this equation. So, start by dividing both sides by $3$:

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \left(5 \cdot t + 2\right)}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} = \frac{36}{3}$

The $3$'s on the left side cancel, to leave:

$5 \cdot t + 2 = 12$

$5 t + 2 = 12$

Then we subtract 2 from each side.

$5 t + \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} - \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} = 12 - 2$

$5 t = 10$

Then, isolate $t$:

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} t}{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}} = \frac{10}{5}$

$t = 2$