Because the denominator is a product of two different linear factors, split the fraction into two simpler fractions, one over each factor. Assume A/(x+5) + B/(x+8). Combining gives [A(x+8)+B(x+5)]/[(x+5)(x+8)]. Matching coefficients gives A=4, B=3. In practice, compare the coefficient of x and the constant term on both sides to find A and B. After A and B are found, place them above their matching denominators to get the partial fraction form.