Algebra-2

To solve the equation 5|2x - 3| + 2 = 17, we first isolate the absolute value term.

Step 1: Isolate the Absolute Value

Subtract 2 from both sides:

5|2x - 3| = 17 - 2

5|2x - 3| = 15

Next, divide both sides by 5:

|2x - 3| =

|2x - 3| = 3

 

Step 2: Set Up Cases for Absolute Value

Now we set up two cases based on the definition of absolute value:

1.Case 1:

2x - 3 = 3

 

2.Case 2:

2x - 3 = -3

 

Step 3: Solve Each Case

For Case 1:

2x - 3 = 3