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

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

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|2x-1|=-3x-1

∣ 2 x - 1 ∣ = - 3 x - 1

x = - 2

Solution steps

∣ 2 x - 1 ∣ = - 3 x - 1

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

- 2 ∣ x + 4 ∣ = - 8

∣ - 3 r + 51 ∣ = 9

8 ∣ y + 25 ∣ = 16

2 x^{2} - 9 x - 2 = 2 x - 2

6 ∣ 5 x + 8 ∣ = 48