Problem of the Week

Updated at Apr 15, 2024 9:04 AM

To get more practice in equation, we brought you this problem of the week:

How would you solve the equation 8(3−v)4v=−45\frac{8(3-v)}{4v}=-\frac{4}{5}?

Check out the solution below!



8(3−v)4v=−45\frac{8(3-v)}{4v}=-\frac{4}{5}

1
Simplify  8(3−v)4v\frac{8(3-v)}{4v}  to  2(3−v)v\frac{2(3-v)}{v}.
2(3−v)v=−45\frac{2(3-v)}{v}=-\frac{4}{5}

2
Multiply both sides by vv.
2(3−v)=−4v52(3-v)=-\frac{4v}{5}

3
Multiply both sides by 55.
10(3−v)=−4v10(3-v)=-4v

4
Expand.
30−10v=−4v30-10v=-4v

5
Add 10v10v to both sides.
30=−4v+10v30=-4v+10v

6
Simplify  −4v+10v-4v+10v  to  6v6v.
30=6v30=6v

7
Divide both sides by 66.
306=v\frac{30}{6}=v

8
Simplify  306\frac{30}{6}  to  55.
5=v5=v

9
Switch sides.
v=5v=5

Done
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