Solve |2x-4| 3=15

Evaluate

∣ 2 x - 4 ∣ \times 3 = 15

Multiply the terms

3 ∣ 2 x - 4 ∣ = 15

Divide both sides

\frac{3 ∣ 2 x - 4 ∣}{3} = \frac{15}{3}

Divide the numbers

∣ 2 x - 4 ∣ = \frac{15}{3}

Divide the numbers

More Steps

∣ 2 x - 4 ∣ = 5

Separate the equation into 2 possible cases

2 x - 4 = 5 2 x - 4 = - 5

Solve the equation for x

More Steps

x = \frac{9}{2} 2 x - 4 = - 5

Solve the equation for x

More Steps

x = \frac{9}{2} x = - \frac{1}{2}

Solution

x_{1} = - \frac{1}{2}, x_{2} = \frac{9}{2}

Alternative Form

x_{1} = - 0.5, x_{2} = 4.5

Solve the equation