Solve 3 | x - 7 | 6 = 9

Evaluate

3 ∣ x - 7 ∣ \times 6 = 9

Multiply the terms

18 ∣ x - 7 ∣ = 9

Divide both sides

\frac{18 ∣ x - 7 ∣}{18} = \frac{9}{18}

Divide the numbers

∣ x - 7 ∣ = \frac{9}{18}

Cancel out the common factor 9

∣ x - 7 ∣ = \frac{1}{2}

Separate the equation into 2 possible cases

x - 7 = \frac{1}{2} x - 7 = - \frac{1}{2}

Solve the equation for x

More Steps

x = \frac{15}{2} x - 7 = - \frac{1}{2}

Solve the equation for x

More Steps

x = \frac{15}{2} x = \frac{13}{2}

Solution

x_{1} = \frac{13}{2}, x_{2} = \frac{15}{2}

Alternative Form

x_{1} = 6.5, x_{2} = 7.5

Solve the equation