let's solve the equation |2x + 3| = 20.
To solve this equation, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: 2x + 3 is positive:
If 2x + 3 is positive, then the equation becomes 2x + 3 = 20.
Solving for x, we have:
2x = 20 - 3
2x = 17
x = 17/2
Case 2: 2x + 3 is negative:
If 2x + 3 is negative, then the equation becomes -(2x + 3) = 20.
Solving for x, we have:
-2x - 3 = 20
-2x = 20 + 3
-2x = 23
x = 23/-2
So, the solutions to the equation |2x + 3| = 20 are x = 17/2 and x = 23/-2.
