x/5-x/2=-3

To solve the equation x/5 - x/2 = -3, we need to find a common denominator for the fractions. In this case, the common denominator is 10. Multiplying the first fraction x/5 by 2/2 to get the denominator of 10, we get 2x/10. Similarly, multiplying the second fraction x/2 by 5/5 to get the denominator of 10, we get 5x/10. Now, the equation becomes 2x/10 - 5x/10 = -3. Combining the fractions, we have (2x - 5x) / 10 = -3, which simplifies to -3x / 10 = -3. To solve for x, we multiply both sides by 10 to get rid of the denominator, resulting in -3x = -30. Finally, dividing both sides by -3 gives us x = 10. Therefore, the solution to the equation x/5 - x/2 = -3 is x = 10.