Solve 10=\left|9x-4\right| 7

Evaluate

10 = ∣ 9 x - 4 ∣ \times 7

Multiply the terms

10 = 7 ∣ 9 x - 4 ∣

Swap the sides of the equation

7 ∣ 9 x - 4 ∣ = 10

Divide both sides

\frac{7 ∣ 9 x - 4 ∣}{7} = \frac{10}{7}

Divide the numbers

∣ 9 x - 4 ∣ = \frac{10}{7}

Separate the equation into 2 possible cases

9 x - 4 = \frac{10}{7} 9 x - 4 = - \frac{10}{7}

Solve the equation for x

More Steps

x = \frac{38}{63} 9 x - 4 = - \frac{10}{7}

Solve the equation for x

More Steps

x = \frac{38}{63} x = \frac{2}{7}

Solution

x_{1} = \frac{2}{7}, x_{2} = \frac{38}{63}

Alternative Form

x_{1} = 0. \dot{2} 8571 \dot{4}, x_{2} = 0. \dot{6} 0317 \dot{4}

Solve the equation