Algebra-2

To solve the equation |3x + 5| = 12, let’s break it down step by step.

Step 1: Set Up Cases for Absolute Value

The equation |3x + 5| = 12 can be separated into two cases:

1.Case 1:

3x + 5 = 12

 

2.Case 2:

3x + 5 = -12

 

Step 2: Solve Each Case

For Case 1:

3x + 5 = 12

 

Subtract 5 from both sides:

3x = 12 - 5

3x = 7

 

Now, divide by 3:

 

For Case 2:

3x + 5 = -12

 

Subtract 5 from both sides:

3x = -12 - 5

3x = -17

 

Now, divide by 3: