Problem of the Week

Updated at Jan 6, 2025 12:01 PM

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

How would you solve the equation \(4(\frac{w}{5}+2)-4=\frac{24}{5}\)?

Here are the steps:



\[4(\frac{w}{5}+2)-4=\frac{24}{5}\]

1
Add \(4\) to both sides.
\[4(\frac{w}{5}+2)=\frac{24}{5}+4\]

2
Simplify  \(\frac{24}{5}+4\)  to  \(\frac{44}{5}\).
\[4(\frac{w}{5}+2)=\frac{44}{5}\]

3
Divide both sides by \(4\).
\[\frac{w}{5}+2=\frac{\frac{44}{5}}{4}\]

4
Simplify  \(\frac{\frac{44}{5}}{4}\)  to  \(\frac{44}{5\times 4}\).
\[\frac{w}{5}+2=\frac{44}{5\times 4}\]

5
Simplify  \(5\times 4\)  to  \(20\).
\[\frac{w}{5}+2=\frac{44}{20}\]

6
Simplify  \(\frac{44}{20}\)  to  \(\frac{11}{5}\).
\[\frac{w}{5}+2=\frac{11}{5}\]

7
Subtract \(2\) from both sides.
\[\frac{w}{5}=\frac{11}{5}-2\]

8
Simplify  \(\frac{11}{5}-2\)  to  \(\frac{1}{5}\).
\[\frac{w}{5}=\frac{1}{5}\]

9
Multiply both sides by \(5\).
\[w=\frac{1}{5}\times 5\]

10
Cancel \(5\).
\[w=1\]

Done
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