What is the answer to |(5x+7)/3 |=|(x-1)/4 | ?

The answer to |(5x+7)/3 |=|(x-1)/4 | is x=-31/17 \lor x=-25/23

Solve for x: |(5x+7)/3 |=|(x-1)/4 |

The solution is x=-31/17 \lor x=-25/23

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\frac{5 x + 7}{3} = \frac{x - 1}{4}

x = - \frac{31}{17} or x = - \frac{25}{23}

Solution steps

\frac{5 x + 7}{3} = \frac{x - 1}{4}

Find positive and negative intervals

x < - \frac{7}{5}, - \frac{7}{5} \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{31}{17} or x = - \frac{25}{23} or No Solution

x = - \frac{31}{17} or x = - \frac{25}{23}

8 + 3 \cdot x = 2^{2} + x^{2}

x^{2} + 6 x - 4 = 36

\frac{x + 3}{x - 5} < 0

3 t^{2} - 24 t + 45

128 x^{4} - 8 y^{4}

What is the answer to |(5x+7)/3 |=|(x-1)/4 | ?
The answer to |(5x+7)/3 |=|(x-1)/4 | is x=-31/17 \lor x=-25/23
Solve for x: |(5x+7)/3 |=|(x-1)/4 |
The solution is x=-31/17 \lor x=-25/23