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Solve the equation. |3x+12|=6

User Anka
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1 Answer

4 votes

Answer: x = -2 and x = -6.

Explanation:

To solve the equation |3x + 12| = 6, we need to consider both the positive and negative cases for the absolute value expression.

Positive case: When the expression inside the absolute value is positive.

3x + 12 = 6

Now, let's solve for x:

Subtract 12 from both sides:

3x = 6 - 12

3x = -6

Divide by 3:

x = -6 / 3

x = -2

Negative case: When the expression inside the absolute value is negative.

-(3x + 12) = 6

Now, let's solve for x:

Distribute the negative sign:

-3x - 12 = 6

Add 12 to both sides:

-3x = 6 + 12

-3x = 18

Divide by -3:

x = 18 / -3

x = -6

So, the solutions to the equation |3x + 12| = 6 are x = -2 and x = -6.

User Jos De Jong
by
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