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

The answer to |2x-19|=4x+1 is x=3

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|2x-19|=4x+1

∣ 2 x - 19 ∣ = 4 x + 1

x = 3

Solution steps

∣ 2 x - 19 ∣ = 4 x + 1

Find positive and negative intervals

x < \frac{19}{2}, x \geq \frac{19}{2}

Solve the inequality for each interval

x = 3 or No Solution

x = 3

5 ∣ 6 + 3 x ∣ - 8 = 52

59 = ∣ 9 - 5 y ∣

10 = \frac{y}{9}

∣ 4 x - 7 ∣ = 3

5 ∣ 6 - x ∣ + 9 = 34