Two-fifths time a plus a over 2 equals a minus 2

Two-fifths time a plus a over 2 equals a minus 2 will be a=20

Step-by-step explanation:

We have to find a, by first writing the verbal expression into an arithmetic form as,

Two fifths times a = (2/5) a

a over 2 = a/2

a minus 2 = a-2

(2/5) a + (a/2) = a-2

We have to take LCM on LHS as 10.

(2*2 / 5*2) a + (a*5 / 2*5) = a-2

(4a/10) + (5a/10) = a-2

Moving 10 to the other side, we will get,

4a + 5a = 10 (a-2)

9a = 10a - 20

Grouping terms we will get,

10a - 9a = 20

a = 20