Algebra-2

To solve the equation 5|2x - 3| + 1 = 16, we will follow these steps:

Step 1: Isolate the Absolute Value

First, subtract 1 from both sides:

5|2x - 3| = 16 - 1

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 can 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

Add 3 to both sides:

2x = 3 + 3

2x = 6

Now, divide by 2:

x =

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