Problem of the Week

Updated at Apr 29, 2019 4:59 PM

To get more practice in equation, we brought you this problem of the week:

How would you solve \(3-4(3-4t)=23\)?

Check out the solution below!



\[3-4(3-4t)=23\]

1
Subtract \(3\) from both sides.
\[-4(3-4t)=23-3\]

2
Simplify  \(23-3\)  to  \(20\).
\[-4(3-4t)=20\]

3
Divide both sides by \(-4\).
\[3-4t=-\frac{20}{4}\]

4
Simplify  \(\frac{20}{4}\)  to  \(5\).
\[3-4t=-5\]

5
Subtract \(3\) from both sides.
\[-4t=-5-3\]

6
Simplify  \(-5-3\)  to  \(-8\).
\[-4t=-8\]

7
Divide both sides by \(-4\).
\[t=\frac{-8}{-4}\]

8
Two negatives make a positive.
\[t=\frac{8}{4}\]

9
Simplify  \(\frac{8}{4}\)  to  \(2\).
\[t=2\]

Done