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

The answer to |2x-5|=3x-4 is x= 9/5

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|2x-5|=3x-4

∣ 2 x - 5 ∣ = 3 x - 4

x = \frac{9}{5}

Decimal Notation

x = 1.8

Solution steps

∣ 2 x - 5 ∣ = 3 x - 4

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{9}{5} or No Solution

x = \frac{9}{5}

∣ 2 x + 5 ∣ - 2 = 10

∣ 3 x + 5 ∣ = 26

∣ 2 c + 8 ∣ = 10 c

9 ∣ - 6 x ∣ - 3 = 3

2 ∣ x - 3 ∣ + 1 = 5