What is the answer to |2x+1|=6x-11 ?

The answer to |2x+1|=6x-11 is x=3

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|2x+1|=6x-11

∣ 2 x + 1 ∣ = 6 x - 11

x = 3

Solution steps

∣ 2 x + 1 ∣ = 6 x - 11

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

No Solution or x = 3

x = 3

∣ x + 2 ∣ + 6 = 3 x

2 ∣ x - 3 ∣ + x = 8

∣ 3 x - 15 ∣ = 8

∣ 3 x - 15 ∣ = 0

\frac{1}{2} x - 5 = 11