what is the solution 1/5x+5=19-1/2x?

1/5x + 5 =19 - 1/2x
1/5x + 1/2x = 14
2x + 5x = 140
7x = 140
x = 20

Should, I assume, be shown as :-
(1/5) x + 5 = 19 - (1/2) x
2x + 50 = 190 - 5x
7x = 140
x = 20

(1/5)x + 5 = 19 - (1/2) x

(1/5)x + (1/2)x = 19 - 5

(2/10)x + (5/10)x = 14

(7/10)x = 14

x = 14 * (10/7)

x = 20

1/5x + 5 = 19 - 1/2x
2x/10 + 5 = 19 - 5x/10
7x/10 = 14
x = 14(10/7) = 20