Problem of the Week

Updated at Jan 13, 2020 9:51 AM

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

How can we solve the equation \(3-4\times \frac{5}{3-v}=23\)?

Here are the steps:



\[3-4\times \frac{5}{3-v}=23\]

1
Simplify  \(4\times \frac{5}{3-v}\)  to  \(\frac{20}{3-v}\).
\[3-\frac{20}{3-v}=23\]

2
Subtract \(3\) from both sides.
\[-\frac{20}{3-v}=23-3\]

3
Simplify  \(23-3\)  to  \(20\).
\[-\frac{20}{3-v}=20\]

4
Multiply both sides by \(3-v\).
\[-20=20(3-v)\]

5
Divide both sides by \(20\).
\[-1=3-v\]

6
Subtract \(3\) from both sides.
\[-1-3=-v\]

7
Simplify  \(-1-3\)  to  \(-4\).
\[-4=-v\]

8
Multiply both sides by \(-1\).
\[4=v\]

9
Switch sides.
\[v=4\]

Done
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