What is the solution is to this 3/5 (2m-10) = 2/3m+10

To find the solution to the given expression, we simply isolate the unknown variable m and perform the necessary operations. The solution is as follows.

(3/5) * (2m-10) = (2/3) * m + 10

15*[ (3/5) * (2m-10) = (2/3) * m + 10]

9 (2m-10) = 10m + 150

18m-90 = 10m + 150

18m - 10m = 150 + 90

8m = 240

m = 240/8

m = 30

First, we multiply the whole expression to the least common denominator (LCD) which is 15. Multiplication and division were then performed accordingly. The terms containing the variable m were transposed to the left side of the equation. Mathematical operations were then applied to get the final value of m which is equal to 30.