How do you solve

8|x+2|-6=5|x+2|+3

x = 1 or x = - 5

Step-by-step explanation:

Solve for x over the integers:

8 abs (x + 2) - 6 = 5 abs (x + 2) + 3

Subtract 5 abs (x + 2) - 6 from both sides:

3 abs (x + 2) = 9

Divide both sides by 3:

abs (x + 2) = 3

Split the equation into two possible cases:

x + 2 = 3 or x + 2 = - 3

Subtract 2 from both sides:

x = 1 or x + 2 = - 3

Subtract 2 from both sides:

Answer: x = 1 or x = - 5