# Problem of the Week

## Updated at Aug 3, 2020 5:16 PM

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

How would you solve the equation $$3-4\times \frac{5}{4q}=\frac{4}{3}$$?

Here are the steps:

$3-4\times \frac{5}{4q}=\frac{4}{3}$

 1 Cancel $$4$$.$3-\frac{5}{q}=\frac{4}{3}$2 Subtract $$3$$ from both sides.$-\frac{5}{q}=\frac{4}{3}-3$3 Simplify  $$\frac{4}{3}-3$$  to  $$-\frac{5}{3}$$.$-\frac{5}{q}=-\frac{5}{3}$4 Multiply both sides by $$q$$.$-5=-\frac{5}{3}q$5 Simplify  $$\frac{5}{3}q$$  to  $$\frac{5q}{3}$$.$-5=-\frac{5q}{3}$6 Multiply both sides by $$3$$.$-5\times 3=-5q$7 Simplify  $$-5\times 3$$  to  $$-15$$.$-15=-5q$8 Divide both sides by $$-5$$.$\frac{-15}{-5}=q$9 Two negatives make a positive.$\frac{15}{5}=q$10 Simplify  $$\frac{15}{5}$$  to  $$3$$.$3=q$11 Switch sides.$q=3$Doneq=3