What is the answer to |4x+1|=-6-5x ?

The answer to |4x+1|=-6-5x is x=-5

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|4x+1|=-6-5x

∣ 4 x + 1 ∣ = - 6 - 5 x

x = - 5

Solution steps

∣ 4 x + 1 ∣ = - 6 - 5 x

Find positive and negative intervals

x < - \frac{1}{4}, x \geq - \frac{1}{4}

Solve the inequality for each interval

x = - 5 or No Solution

x = - 5

- 8 = ∣ q - 5 ∣

4 = ∣ r + 2 ∣

9 ∣ x ∣ = 2

∣ 9 n - 3 ∣ + 17 = 1

x^{2} + 3 x - 11 = ∣ x + 4 ∣ + 9