Problem
$\frac{x+3}{7}=\frac{x}{5}$
Solution
Step 1 ：Cross-multiply to eliminate fractions: $5(x+3) = 7x$
Step 2 ：Distribute the 5: $5x + 15 = 7x$
Step 3 ：Subtract $5x$ from both sides: $15 = 2x$
Step 4 ：Divide both sides by 2: \(\boxed{\frac{15}{2}}\) = x
