# How do you solve 4( t - 1) + 2( t - 4) = 18?

Jun 29, 2017

$t = 5$

#### Explanation:

$4 \left(t - 1\right) + 2 \left(t - 4\right) = 18$

$4 t - 4 + 2 t - 8 = 18$

$4 t - 4 + 2 t = 18 + 8$

$4 t + 2 t = 26 + 4$

$6 t = 30$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} t}{\textcolor{red}{\cancel{6}}} = \frac{30}{6}$

color(blue)(t = 5

Now we can input the number to prove that $t = 5$.

$4 \left(5 - 1\right) + 2 \left(5 - 4\right) = 18$

$4 \times 4 + 2 \times 1 = 18$

$16 + 2 = 18$