What is the answer to |3x-5|=5x-1 ?

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

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|3x-5|=5x-1

∣ 3 x - 5 ∣ = 5 x - 1

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

∣ 3 x - 5 ∣ = 5 x - 1

Find positive and negative intervals

x < \frac{5}{3}, x \geq \frac{5}{3}

Solve the inequality for each interval

x = \frac{3}{4} or No Solution

x = \frac{3}{4}

∣ x - 3 ∣ = - 6

∣ 8 x ∣ = 32

∣ 2 x + 3 ∣ = x - 4

∣ 2 x ∣ = 14

∣ 2 x + 3 ∣ = x + 1