# How do you solve -3 ( t + 5 ) + ( 4 t + 2 ) = 8?

Mar 3, 2018

$t = 21$

#### Explanation:

As we know with any math problem, brackets always need to be sorted out first using BIDMAS. So first, we would expand the brackets.

color(red)(-3)color(green)((t+color(red)(5))+color(green)((4t+color(red)(2))=color(red)(8)

color(red)(-3 xx color(green)(t)=color(green)(3t)

color(red)(-3 xx 5)=color(red)(-15

As color(green)((4tcolor(red)(+2)) cannot be expanded by anything is stays the same.

Removing the brackets:

$\textcolor{g r e e n}{- 3 t} \textcolor{red}{- 15} + \textcolor{g r e e n}{4 t} \textcolor{red}{+ 2} = \textcolor{red}{8}$

Collecting like-terms:

$\textcolor{g r e e n}{- 3 t + 4 t = t}$

color(red)(-15+2=-13

Plugging back into equation:

$\textcolor{g r e e n}{t} \textcolor{red}{- 13} = \textcolor{red}{8}$

To get $\textcolor{g r e e n}{t}$ on it's own, we $\textcolor{red}{+ 13}$ to get rid of the $\textcolor{red}{- 13}$ as they cancel out. Remember we add $\textcolor{red}{13}$ to both sides.

$\textcolor{red}{8 + 13 = 21}$

$\therefore$ $t = 21$