2x/3 + x/5 = 13
Here, we have to two different denominators in the LHS. So in order to solve the equation, we need to have like denominators and hence we find the Least Common Multiple (LCM).
The LCM of the denominators 3 and 5 is 15. Hence, we multiply each term to bring the denominator to 15.
5.(2x/3) + 3.(x/5) = 13
Now we combine the fractions with common denominator.
10x/15 + 3x/15 = 13
(10x + 3x)/15 =13
13x/15 = 13
Now, multiply the numbers and solve
13x = 13 . 15
x = 15 (cancelling 13 from both LHS and RHS)