What is the answer to |2x-5|=4x-3 ?

The answer to |2x-5|=4x-3 is x= 4/3

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|2x-5|=4x-3

∣ 2 x - 5 ∣ = 4 x - 3

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

∣ 2 x - 5 ∣ = 4 x - 3

Find positive and negative intervals

x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

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

x = \frac{4}{3}

- 4 ∣ 2 p - 3 ∣ = - 20

∣ 1 - 4 t ∣ + 8 = 13

∣ x + 7 ∣ = 2 x + 8

4 ∣ x - 6 ∣ + 2 = 12

3 ∣ 2 x - 3 ∣ = 15