To solve the equation, we need to combine the fractions on the left side of the equation.

First, we need to find a common denominator for the fractions 2/5x and 3/5x. The common denominator is 5x.

So, we can rewrite the equation as:

(2/5x) + (3/5x) = 3/4

Now, we can add the fractions:

(2/5x) + (3/5x) = (2 + 3)/(5x) = 5/5x

Therefore, the equation becomes:

5/5x = 3/4

To solve for x, we can cross multiply:

5 * 4 = 3 * 5x

20 = 15x

Divide both sides of the equation by 15:

20/15 = x

Simplifying the fraction:

4/3 = x

So, the solution to the equation is x = 4/3.