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

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

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|x-3|=2x-1

∣ x - 3 ∣ = 2 x - 1

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

∣ x - 3 ∣ = 2 x - 1

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

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

x = \frac{4}{3}

z - 10 = ∣ 7 z ∣ - 16

2 = ∣ 8 p + 10 ∣

2 ∣ 3 x - 4 ∣ + 8 = 6

- 2 ∣ 5 w - 7 ∣ + 9 = - 7

x, ∣ x ∣ = - y