What is the answer to |4x-1|=5x+37 ?

The answer to |4x-1|=5x+37 is x=-4

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|4x-1|=5x+37

∣ 4 x - 1 ∣ = 5 x + 37

x = - 4

Solution steps

∣ 4 x - 1 ∣ = 5 x + 37

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 4 or No Solution

x = - 4

∣ 3 n - 2 ∣ = 7

∣ 1 - 3 x ∣ = 37

∣ 2 x + 1 ∣ + 5 = x + 5

∣ x + 2 ∣ - 5 = 9

∣ 3 x - 9 ∣ - ∣ 4 x - 6 ∣ = 4