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: \[ \boxed{-5} \]