solve equations with distributing a fraction

Question

4/5(x-2)=10

Answer 1

Students should know about the valuable technique "CLEARING FRACTIONS."

 

IF THE LEFT SIDE AND THE RIGHT SIDE ARE MULTIPLIED BY 5 (TO KILL OFF THE 5 IN THE DENOMINATOR) you'll get 4(x-2)=5(10)

4x  - 8 = 50

4x = 58

x = 58/4 = 29/2 ... THE correct answer.

 

 

Answer 2

(4/5)x-(4/5)2 = 10

(4/5)x -8/5 = 10

(4/5)x = 58/5

x = (58/5)(5/4) = 17