# 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$Donev=4