Algebra-2

To solve the equation |2x + 3| + 4 = 10, we start by isolating the absolute value expression.

Step 1: Isolate the Absolute Value

Subtract 4 from both sides:

|2x + 3| = 10 - 4

|2x + 3| = 6

 

Step 2: Set Up Cases for Absolute Value

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

1.Case 1:

2x + 3 = 6

 

2.Case 2:

2x + 3 = -6

 

Step 3: Solve Each Case

For Case 1:

2x + 3 = 6

Subtract 3 from both sides:

2x = 6 - 3

2x = 3

Now, divide by 2:

 

For Case 2:

2x + 3 = -6

Subtract 3 from both sides:

2x = -6 - 3

2x = -9

Now, divide by 2: