Solve 4∣𝑥+5∣+8=244∣x+5∣+8=24.

Sure, let's solve the equation step by step.

The given equation is 4|x+5| + 8 = 24.

Step 1: Subtract 8 from both sides of the equation to isolate the absolute value.

4|x+5| = 24 - 8

4|x+5| = 16

Step 2: Divide both sides of the equation by 4 to solve for |x+5|.

|x+5| = 16 / 4

|x+5| = 4

Step 3: Solve for x. Since the absolute value of a number is always positive, x + 5 can be either 4 or -4.

If x + 5 = 4, then x = 4 - 5 = -1.

If x + 5 = -4, then x = -4 - 5 = -9.

So, the solutions to the equation are x = -1 and x = -9.