Part B: Type your answer in the boxes below. Solve each equation. Check your answers for extraneous solutions. \[ |2 x+4|=3 x+4 \] $x=$ $x=$ (smaller number) (larger number) If there are two solutions: Type the smaller number on the left and the larger number on the right. If there is one solution: Type the same solution in both boxes. If there is no solution: Type: no solution in both boxes. Type the word all in lowercase letters.

Step 1 ：Split the absolute value equation into two separate equations, one for the positive case and one for the negative case.

Step 2 ：For the positive case, we have the equation \(2x + 4 = 3x + 4\). Solving this equation gives us the solution \(x = 0\).

Step 3 ：For the negative case, we have the equation \(2x + 4 = -3x - 4\). Solving this equation gives us the solution \(x = -\frac{8}{5}\).

Step 4 ：The solutions to the equation are \(x = 0\) and \(x = -\frac{8}{5}\).

Step 5 ：Since the question asks for the smaller number on the left and the larger number on the right, the final answer is \(\boxed{-\frac{8}{5}}\) and \(\boxed{0}\).