Solve 6|5x - 7|=3

Evaluate

6 ∣ 5 x - 7 ∣ = 3

Divide both sides

\frac{6 ∣ 5 x - 7 ∣}{6} = \frac{3}{6}

Divide the numbers

∣ 5 x - 7 ∣ = \frac{3}{6}

Cancel out the common factor 3

∣ 5 x - 7 ∣ = \frac{1}{2}

Separate the equation into 2 possible cases

5 x - 7 = \frac{1}{2} 5 x - 7 = - \frac{1}{2}

Solve the equation for x

More Steps

x = \frac{3}{2} 5 x - 7 = - \frac{1}{2}

Solve the equation for x

More Steps

x = \frac{3}{2} x = \frac{13}{10}

Solution

x_{1} = \frac{13}{10}, x_{2} = \frac{3}{2}

Alternative Form

x_{1} = 1.3, x_{2} = 1.5

Solve the equation