Solve |2x-5| 12=27

Evaluate

∣ 2 x - 5 ∣ \times 12 = 27

Multiply the terms

12 ∣ 2 x - 5 ∣ = 27

Divide both sides

\frac{12 ∣ 2 x - 5 ∣}{12} = \frac{27}{12}

Divide the numbers

∣ 2 x - 5 ∣ = \frac{27}{12}

Cancel out the common factor 3

∣ 2 x - 5 ∣ = \frac{9}{4}

Separate the equation into 2 possible cases

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

Solve the equation for x

More Steps

x = \frac{29}{8} 2 x - 5 = - \frac{9}{4}

Solve the equation for x

More Steps

x = \frac{29}{8} x = \frac{11}{8}

Solution

x_{1} = \frac{11}{8}, x_{2} = \frac{29}{8}

Alternative Form

x_{1} = 1.375, x_{2} = 3.625

Solve the equation