X-x/7=15/7

To solve the equation \( x - \frac{x}{7} = \frac{15}{7} \), we can start by simplifying the left side of the equation. First, let's find a common denominator for \( x \) and \( \frac{x}{7} \): 1. Rewrite \( x \) as \( \frac{7x}{7} \): \[ \frac{7x}{7} - \frac{x}{7} = \frac{15}{7} \] 2. Now, combine the terms on the left: \[ \frac{7x - x}{7} = \frac{15}{7} \] \[ \frac{6x}{7} = \frac{15}{7} \] 3. To eliminate the denominator, multiply both sides by 7: \[ 6x = 15 \] 4. Now, divide by 6: \[ x = \frac{15}{6} \] \[ x = \frac{5}{2} \] So, the solution to the equation \( x - \frac{x}{7} = \frac{15}{7} \) is: \[ x = \frac{5}{2} \]