Solve 4 |x -3| 1=1

Evaluate

4 ∣ x - 3 ∣ \times 1 = 1

Multiply the terms

4 ∣ x - 3 ∣ = 1

Divide both sides

\frac{4 ∣ x - 3 ∣}{4} = \frac{1}{4}

Divide the numbers

∣ x - 3 ∣ = \frac{1}{4}

Separate the equation into 2 possible cases

x - 3 = \frac{1}{4} x - 3 = - \frac{1}{4}

Solve the equation for x

More Steps

x = \frac{13}{4} x - 3 = - \frac{1}{4}

Solve the equation for x

More Steps

x = \frac{13}{4} x = \frac{11}{4}

Solution

x_{1} = \frac{11}{4}, x_{2} = \frac{13}{4}

Alternative Form

x_{1} = 2.75, x_{2} = 3.25

Solve the equation