Problem of the Week

Updated at Dec 25, 2023 10:08 AM

This week we have another equation problem:

How would you solve \(\frac{4}{5}(w+2)-3=1\)?

Let's start!



\[\frac{4}{5}(w+2)-3=1\]

1
Simplify  \(\frac{4}{5}(w+2)\)  to  \(\frac{4(w+2)}{5}\).
\[\frac{4(w+2)}{5}-3=1\]

2
Add \(3\) to both sides.
\[\frac{4(w+2)}{5}=1+3\]

3
Simplify  \(1+3\)  to  \(4\).
\[\frac{4(w+2)}{5}=4\]

4
Multiply both sides by \(5\).
\[4(w+2)=4\times 5\]

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

6
Divide both sides by \(4\).
\[w+2=\frac{20}{4}\]

7
Simplify  \(\frac{20}{4}\)  to  \(5\).
\[w+2=5\]

8
Subtract \(2\) from both sides.
\[w=5-2\]

9
Simplify  \(5-2\)  to  \(3\).
\[w=3\]

Done
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