If the difference between the algebraic formula 18 + m / 3 and M - 2 / 5 is 8, find the value of M and remove the denominator

If the difference between the algebraic formula 18 + m / 3 and M - 2 / 5 is 8, find the value of M and remove the denominator

(18+m/3)-(m-2/5)=8
270 + 5m-m + 6 = 120
5 M-M = 120-276
Merge similar items to get 4m = - 156
Divide the left and right sides by 4
m=39