What is the answer to |2x-3|=4x-1 ?

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

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|2x-3|=4x-1

∣ 2 x - 3 ∣ = 4 x - 1

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ 2 x - 3 ∣ = 4 x - 1

Find positive and negative intervals

x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = \frac{2}{3} or No Solution

x = \frac{2}{3}

∣ y - 1 ∣ + 17 = 23

4 ∣ 7 y + 2 ∣ - 8 = - 7

∣ 3 x - 2 ∣ = 2 x + 8

43 = ∣ y - 8 ∣

- 2 ∣ 5 x - 5 ∣ + 4 = - 8