Problem of the Week

Updated at Sep 30, 2019 3:41 PM

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

How would you solve \(5-\frac{4}{4(3-n)}=6\)?

Here are the steps:



\[5-\frac{4}{4(3-n)}=6\]

1
Cancel \(4\).
\[5-\frac{1}{3-n}=6\]

2
Subtract \(5\) from both sides.
\[-\frac{1}{3-n}=6-5\]

3
Simplify  \(6-5\)  to  \(1\).
\[-\frac{1}{3-n}=1\]

4
Multiply both sides by \(3-n\).
\[-1=3-n\]

5
Subtract \(3\) from both sides.
\[-1-3=-n\]

6
Simplify  \(-1-3\)  to  \(-4\).
\[-4=-n\]

7
Multiply both sides by \(-1\).
\[4=n\]

8
Switch sides.
\[n=4\]

Done
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