Problem of the Week

Updated at Apr 5, 2021 2:35 PM

This week's problem comes from the equation category.

How would you solve 4(2+2(3t))=84(2+2(3-t))=8?

Let's begin!



4(2+2(3t))=84(2+2(3-t))=8

1
Divide both sides by 44.
2+2(3t)=842+2(3-t)=\frac{8}{4}

2
Simplify  84\frac{8}{4}  to  22.
2+2(3t)=22+2(3-t)=2

3
Cancel 22 on both sides.
2(3t)=02(3-t)=0

4
Divide both sides by 22.
3t=03-t=0

5
Subtract 33 from both sides.
t=3-t=-3

6
Multiply both sides by 1-1.
t=3t=3

Done