Algebra-2

To solve the equation -4|2x - 6| = -20, we start by isolating the absolute value term.

Step 1: Isolate the Absolute Value

Divide both sides by -4. 

|2x - 6| =

|2x - 6| = 5

 

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 - 6 = 5

 

2.Case 2:

2x - 6 = -5

 

Step 3: Solve Each Case

For Case 1:

2x - 6 = 5

Add 6 to both sides:

2x = 5 + 6

2x = 11

Now, divide by 2:

x =

 

For Case 2:

2x - 6 = -5

Add 6 to both sides:

2x = -5 + 6

2x = 1

Now, divide by 2:

x =

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