Solve 2|5-4x| 9=19

Question

Solve the equation

x_{1} = \frac{71}{72}, x_{2} = \frac{109}{72}

Alternative Form

x_{1} = 0.986 \dot{1}, x_{2} = 1.513 \dot{8}

Evaluate

2 ∣ 5 - 4 x ∣ \times 9 = 19

Multiply the terms

18 ∣ 5 - 4 x ∣ = 19

Divide both sides

\frac{18 ∣ 5 - 4 x ∣}{18} = \frac{19}{18}

Divide the numbers

∣ 5 - 4 x ∣ = \frac{19}{18}

Separate the equation into 2 possible cases

5 - 4 x = \frac{19}{18} 5 - 4 x = - \frac{19}{18}

Solve the equation for x

More Steps

x = \frac{71}{72} 5 - 4 x = - \frac{19}{18}

Solve the equation for x

More Steps

x = \frac{71}{72} x = \frac{109}{72}

Solution

x_{1} = \frac{71}{72}, x_{2} = \frac{109}{72}

Alternative Form

x_{1} = 0.986 \dot{1}, x_{2} = 1.513 \dot{8}

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