How do you solve \frac{32}{d - 2} = 10?

2 Answers
Mar 12, 2018

d=5.2

Explanation:

(32)/(d-2)=10 (Multiply both sides by d-2)

32=10(d-2) (Distribute 10)

32=10d-20 (Add 20 to both sides)

52=10d (Divide both sides by 10)

5.2=d

Check the answer by plugging it back into the original equation

(32)/(5.2-2)=10

(32)/(3.2) = 10

10=10

Mar 12, 2018

d=26/5

Explanation:

32/(d-2)=10

Start with cross multiply

10(d - 2) = 32

Distribute

(10)(d) + (10)(-2) = 32

10d - 20 = 32

Subtract 20 on both sides

10d - 20 + 20 = 32 + 20

10d =52

Divide both sides by 10

(cancel(10)d)/cancel10=52/10

d=26/5