Solve |3x-12| 3=48

Evaluate

∣ 3 x - 12 ∣ \times 3 = 48

Multiply the terms

3 ∣ 3 x - 12 ∣ = 48

Divide both sides

\frac{3 ∣ 3 x - 12 ∣}{3} = \frac{48}{3}

Divide the numbers

∣ 3 x - 12 ∣ = \frac{48}{3}

Divide the numbers

More Steps

∣ 3 x - 12 ∣ = 16

Separate the equation into 2 possible cases

3 x - 12 = 16 3 x - 12 = - 16

Solve the equation for x

More Steps

x = \frac{28}{3} 3 x - 12 = - 16

Solve the equation for x

More Steps

x = \frac{28}{3} x = - \frac{4}{3}

Solution

x_{1} = - \frac{4}{3}, x_{2} = \frac{28}{3}

Alternative Form

x_{1} = - 1. \dot{3}, x_{2} = 9. \dot{3}

Solve the equation