Answer:
x = 3 & −
12
Explanation:
Find all solutions for x by breaking the absolute value into the positive and negative components.
Let's solve your equation step-by-step.
|2x+9|=15 Solve Absolute Value.
|2x+9|=15
We know either 2x + 9 = 15 or 2x + 9 = −15
2x + 9 = 15(Possibility 1)
2x + 9 − 9 = 15 − 9(Subtract 9 from both sides)
2x=6 (Divide both sides by 2)
x=3
2x + 9 = −15(Possibility 2)
2x + 9 − 9 = −15 − 9(Subtract 9 from both sides)
2x=−24 (Divide both sides by 2)
x=−12
Answer:
x=3 or x=−12