Solve the equation. Check for extraneous solutions.

9|9 - 8x| = 2x + 3

The given equation is : 9|9-8x| = 2x + 3. Removing the modulus sign to get, 9 (9-8x) = + 2x+3 or 9 (9-8x) = - 2x-3. Case 1: 9 (9-8x) = + 2x+3 or 81 - 72x = 2x + 3 or 78 = 74x or x = 78/74. Case 2:9 (9-8x) = - 2x-3 or 81 - 72x = - 2x - 3 or 70x = 84 or x = 84/70. Thus, the solutions of x are 78/74 and 84/70. No, these are not extraneous solutions, as the answers are satisfying the equation.