Solve |2x 3/4 |=5 6/7

Evaluate

2 x \times \frac{3}{4} = 5 \frac{6}{7}

Multiply the terms

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\frac{3}{2} x = 5 \frac{6}{7}

Covert the mixed number to an improper fraction

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\frac{3}{2} x = \frac{41}{7}

Separate the equation into 2 possible cases

\frac{3}{2} x = \frac{41}{7} \frac{3}{2} x = - \frac{41}{7}

Solve the equation for x

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x = \frac{82}{21} \frac{3}{2} x = - \frac{41}{7}

Solve the equation for x

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x = \frac{82}{21} x = - \frac{82}{21}

Solution

x_{1} = - \frac{82}{21}, x_{2} = \frac{82}{21}

Alternative Form

x_{1} = - 3. \dot{9} 0476 \dot{1}, x_{2} = 3. \dot{9} 0476 \dot{1}

Solve the equation