Solve 2|3x-2| 5=15

Evaluate

2 ∣ 3 x - 2 ∣ \times 5 = 15

Multiply the terms

10 ∣ 3 x - 2 ∣ = 15

Divide both sides

\frac{10 ∣ 3 x - 2 ∣}{10} = \frac{15}{10}

Divide the numbers

∣ 3 x - 2 ∣ = \frac{15}{10}

Cancel out the common factor 5

∣ 3 x - 2 ∣ = \frac{3}{2}

Separate the equation into 2 possible cases

3 x - 2 = \frac{3}{2} 3 x - 2 = - \frac{3}{2}

Solve the equation for x

More Steps

x = \frac{7}{6} 3 x - 2 = - \frac{3}{2}

Solve the equation for x

More Steps

x = \frac{7}{6} x = \frac{1}{6}

Solution

x_{1} = \frac{1}{6}, x_{2} = \frac{7}{6}

Alternative Form

x_{1} = 0.1 \dot{6}, x_{2} = 1.1 \dot{6}

Solve the equation