# How do you solve 2t - 2 = 19 - t?

Jul 2, 2018

$t = 7$

#### Explanation:

Given: $2 t - 2 = 19 - t$.

Add $t$ to both sides.

$2 t + t - 2 = 19 - \textcolor{red}{\cancel{\textcolor{b l a c k}{t}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{t}}}$

$3 t - 2 = 19$

Add $2$ to both sides.

$3 t - \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} = 19 + 2$

$3 t = 21$

Divide by $3$ to isolate $t$.

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} t}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} = \frac{21}{3}$

$t = 7$

Jul 2, 2018

$t = 7$

#### Explanation:

Given: $2 t - 2 = 19 - t$

Add $t$ to both sides:

$t + 2 t - 2 = 19 - t + t$

$3 t - 2 = 19$

Add $2$ to both sides:

$2 + 3 t - 2 = 19 + 2$

$3 t = 21$

Divide both sides by $3$:

$t = \frac{21}{3} = 7$