Problem of the Week

Updated at Apr 17, 2023 10:56 AM

For this week we've brought you this equation problem.

How would you solve \(\frac{4}{5}(u+2)+4=\frac{36}{5}\)?

Here are the steps:



\[\frac{4}{5}(u+2)+4=\frac{36}{5}\]

1
Simplify  \(\frac{4}{5}(u+2)\)  to  \(\frac{4(u+2)}{5}\).
\[\frac{4(u+2)}{5}+4=\frac{36}{5}\]

2
Subtract \(4\) from both sides.
\[\frac{4(u+2)}{5}=\frac{36}{5}-4\]

3
Simplify  \(\frac{36}{5}-4\)  to  \(\frac{16}{5}\).
\[\frac{4(u+2)}{5}=\frac{16}{5}\]

4
Multiply both sides by \(5\).
\[4(u+2)=\frac{16}{5}\times 5\]

5
Cancel \(5\).
\[4(u+2)=16\]

6
Divide both sides by \(4\).
\[u+2=\frac{16}{4}\]

7
Simplify  \(\frac{16}{4}\)  to  \(4\).
\[u+2=4\]

8
Subtract \(2\) from both sides.
\[u=4-2\]

9
Simplify  \(4-2\)  to  \(2\).
\[u=2\]

Done
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