Problem of the Week

Updated at Jan 28, 2019 4:31 PM

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Feb 11, 2019

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

How would you solve the equation \(4(\frac{z}{5}+2)\times \frac{5}{z}=12\)?

Here are the steps:

\[4(\frac{z}{5}+2)\times \frac{5}{z}=12\]

Multiply both sides by \(z\)

\[20(\frac{z}{5}+2)=12z\]

Expand

\[4z+40=12z\]

Subtract \(4z\) from both sides

\[40=12z-4z\]

Simplify \(12z-4z\) to \(8z\)

\[40=8z\]

Divide both sides by \(8\)

\[\frac{40}{8}=z\]

Simplify \(\frac{40}{8}\) to \(5\)

\[5=z\]

Switch sides

\[z=5\]

Done