# Solve for x: - 3|2x + 6| = -12

x = 1 and x = 5

x = -1 and x = -5

x = -9 and x = 3

No solution

**Solution: **

We will find the value of x which satisfies the equation - 3|2x + 6| = -12.

**Step 1:**

Divide both the sides by -3.

|2x + 6| = 4

As we can see that the equation has an absolute value, we will have two values x.

**Step 2:**

Put equations equal to 4 and -4 to get the values.

2x + 6 = 4 or 2x + 6 = - 4

**Step 3:**

By solving the equations, we get

2x = 4 - 6 or 2x = - 4 - 6

2x = -2 or 2x = -10

**Step 4: **

Divide both the sides by 2.

x = -1 or x = -5

## Solve for x: - 3|2x + 6| = -12

x = 1 and x = 5, x = -1 and x = -5, x = -9 and x = 3, No solution

**Summary:**

The solution for x are -5 or -1 for the equation - 3|2x + 6| = -12.

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