Problem of the Week

Updated at Dec 19, 2022 9:35 AM

This week's problem comes from the equation category.

How would you solve \(3(5-\frac{2}{3-v})=12\)?

Let's begin!



\[3(5-\frac{2}{3-v})=12\]

1
Divide both sides by \(3\).
\[5-\frac{2}{3-v}=\frac{12}{3}\]

2
Simplify  \(\frac{12}{3}\)  to  \(4\).
\[5-\frac{2}{3-v}=4\]

3
Subtract \(5\) from both sides.
\[-\frac{2}{3-v}=4-5\]

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

5
Multiply both sides by \(3-v\).
\[-2=-3+v\]

6
Regroup terms.
\[-2=v-3\]

7
Add \(3\) to both sides.
\[-2+3=v\]

8
Simplify  \(-2+3\)  to  \(1\).
\[1=v\]

9
Switch sides.
\[v=1\]

Done
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