What is the answer to 11|2x+3|-|2x-5|=6 ?

The answer to 11|2x+3|-|2x-5|=6 is x=-11/5 \lor x=-11/12

Solve for x: 11|2x+3|-|2x-5|=6

The solution is x=-11/5 \lor x=-11/12

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11 ∣ 2 x + 3 ∣ - ∣ 2 x - 5 ∣ = 6

x = - \frac{11}{5} or x = - \frac{11}{12}

Solution steps

11 ∣ 2 x + 3 ∣ - ∣ 2 x - 5 ∣ = 6

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

x = - \frac{11}{5} or x = - \frac{11}{12} or No Solution

x = - \frac{11}{5} or x = - \frac{11}{12}

- x^{2} + x - 1 = ∣ x + 5 ∣

∣ n ∣ + ∣ n - 4 ∣ + ∣ n - 6 ∣ = 10

∣ x ∣ + ∣ x + 5 ∣ = 5

∣ x - 8 ∣ = 3 x^{2} - 5 - ∣ 2 x + 3 ∣

3 ∣ x + 2 ∣ - x = 3

What is the answer to 11|2x+3|-|2x-5|=6 ?
The answer to 11|2x+3|-|2x-5|=6 is x=-11/5 \lor x=-11/12
Solve for x: 11|2x+3|-|2x-5|=6
The solution is x=-11/5 \lor x=-11/12