What is the answer to |3x-4|=-4x-1 ?

The answer to |3x-4|=-4x-1 is x=-5

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|3x-4|=-4x-1

∣ 3 x - 4 ∣ = - 4 x - 1

x = - 5

Solution steps

∣ 3 x - 4 ∣ = - 4 x - 1

Find positive and negative intervals

x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

x = - 5 or No Solution

x = - 5

∣ 5 x - 3 ∣ + 3 = 3

- 8 = - 2 ∣ p + 3 ∣

\frac{3 x + 8}{8} = 1

∣ 6 x ∣ = x^{2} - 7

5 - ∣ n - 9 ∣ = 3