What is the answer to |-2x-19|=4x+1 ?

The answer to |-2x-19|=4x+1 is x=9

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|-2x-19|=4x+1

∣ - 2 x - 19 ∣ = 4 x + 1

x = 9

Solution steps

∣ - 2 x - 19 ∣ = 4 x + 1

Find positive and negative intervals

x \leq - \frac{19}{2}, x > - \frac{19}{2}

Solve the inequality for each interval

No Solution or x = 9

x = 9

1 - \frac{3}{4} k = 11

0 = ∣ p - 3 ∣

∣ r - 45 ∣ = 15

7 = ∣ 4 g - 1 ∣ - 1

- 4 ∣ 8 - 5 z ∣ = 13