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−2|5x−1|−3=−11
x=? and x=?

1 Answer

4 votes

Answer:

To solve the equation -2|5x - 1| - 3 = -11, you can follow these steps:

Step 1: Add 3 to both sides of the equation to isolate the absolute value term:

-2|5x - 1| = -11 + 3

-2|5x - 1| = -8

Step 2: Divide both sides by -2. When you divide or multiply both sides of an inequality by a negative number, remember to reverse the inequality sign:

|5x - 1| = 4

Now, we have two cases to consider because the absolute value can be positive or negative:

Case 1: 5x - 1 is positive:

5x - 1 = 4

Solve for x:

5x = 4 + 1

5x = 5

x = 5/5

x = 1

Case 2: 5x - 1 is negative (we negate the absolute value):

5x - 1 = -4

Solve for x:

5x = -4 + 1

5x = -3

x = -3/5

So, there are two solutions:

x = 1 and x = -3/5.

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