Solve the absolute value equation

| 3x+1 | = 1

Let's solve your equation step-by-step.

| 3x + 1 | = 1

Solve Absolute Value.

| 3x + 1 | = 1

We know either 3x + 1 = 1 or 3x + 1 = - 1

3x + 1 = 1 (Possibility 1)

3x + 1 - 1 = 1-1 (Subtract 1 from both sides)

3x = 0

3x / 3 = 0/3 (Divide both sides by 3)

3x + 1 = - 1 (Possibility 2)

3x + 1 - 1 = - 1 - 1 (Subtract 1 from both sides)

3x = - 2

x = 0

3x / 3 = - 2 / 3 (Divide both sides by 3)

x = - 2 / 3

Answer:

x = 0 or x = - 2 / 3