3/х+1=2/5

To solve the equation \( \frac{3}{x} + 1 = \frac{2}{5} \), follow these steps:

1. Subtract 1 from both sides to isolate the fraction:

\[ \frac{3}{x} = \frac{2}{5} - 1 \]

2. Convert 1 to a fraction with a denominator of 5:

\[ 1 = \frac{5}{5} \]

So we have:

\[ \frac{3}{x} = \frac{2}{5} - \frac{5}{5} = \frac{2 - 5}{5} = \frac{-3}{5} \]

3. Now we have:

\[ \frac{3}{x} = \frac{-3}{5} \]

4. Cross-multiply to solve for \( x \):

\[ 3 \cdot 5 = -3 \cdot x \]

Which gives:

\[ 15 = -3x \]

5. Divide both sides by -3:

\[ x = \frac{15}{-3} = -5 \]

So, the solution to the equation is:

\[ \boxed{-5} \]