What is the answer to |2x-1|=3x+11 ?

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

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|2x-1|=3x+11

∣ 2 x - 1 ∣ = 3 x + 11

x = - 2

Solution steps

∣ 2 x - 1 ∣ = 3 x + 11

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 2 or No Solution

x = - 2

4 ∣ x + 5 ∣ + 8 = 24

∣ 3 - 2 x ∣ = 14

- ∣ h + 7 ∣ = - 12

∣ t - 4 ∣ = 0

8 = ∣ v + 3 ∣ - 6