# Problem of the Week

Updated at Jan 28, 2019 4:31 PM

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:

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

 1 Multiply both sides by $$z$$$20(\frac{z}{5}+2)=12z$2 Expand$4z+40=12z$3 Subtract $$4z$$ from both sides$40=12z-4z$4 Simplify $$12z-4z$$ to $$8z$$$40=8z$5 Divide both sides by $$8$$$\frac{40}{8}=z$6 Simplify $$\frac{40}{8}$$ to $$5$$$5=z$7 Switch sides$z=5$Donez=5