Solve the Fraction Equation: (x-5)/7 = 2/11

To solve $\frac{x-5}{7} = \frac{2}{11}$, we will use cross-multiplication:

• Step 1: Cross-multiply the equation: $(x-5) \times 11 = 7 \times 2$.
• Step 2: Simplify both sides: $11(x - 5) = 14$.
• Step 3: Distribute the 11 on the left side: $11x - 55 = 14$.
• Step 4: Add 55 to both sides to isolate the $11x$ term: $11x = 14 + 55$.
• Step 5: Calculate the right side: $11x = 69$.
• Step 6: Divide both sides by 11 to solve for $x$: $x = \frac{69}{11}$.

Therefore, the solution to the problem is $x = \frac{69}{11}$, which matches the first answer choice provided.