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

The answer to |2x-5|=6x+11 is x=-3/4

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|2x-5|=6x+11

∣ 2 x - 5 ∣ = 6 x + 11

x = - \frac{3}{4}

Decimal

x = - 0.75

Solution steps

∣ 2 x - 5 ∣ = 6 x + 11

Find positive and negative intervals

x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

x = - \frac{3}{4} or No Solution

x = - \frac{3}{4}

\frac{2 x}{3} + 5 = - 8

3 ∣ x - 1 ∣ + 4 = 10

∣ x + 2 ∣ = - 7

1 = \frac{2 x}{- 2.5 \times 2.5}

∣ 4 x - 1 ∣ = 5 x + 8