solve the following absolute value equation. 15 = 5|3x + 3| x = ?,

Explanation:

Step1: Isolate the absolute - value term

Divide both sides of the equation $15 = 5|3x + 3|$ by 5. We get $\frac{15}{5}=\frac{5|3x + 3|}{5}$, which simplifies to $3=|3x + 3|$.

Step2: Consider two cases

Case 1: $3x+3 = 3$. Subtract 3 from both sides: $3x+3 - 3=3 - 3$, so $3x=0$. Then divide both sides by 3, we have $x = 0$. Case 2: $3x+3=-3$. Subtract 3 from both sides: $3x+3 - 3=-3 - 3$, so $3x=-6$. Then divide both sides by 3, we get $x=-2$.

Answer:

$x = 0,-2$