What is the answer to |2x-5|=3x+1 ?

The answer to |2x-5|=3x+1 is x= 4/5

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|2x-5|=3x+1

∣ 2 x - 5 ∣ = 3 x + 1

x = \frac{4}{5}

Decimal

x = 0.8

Solution steps

∣ 2 x - 5 ∣ = 3 x + 1

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{4}{5} or No Solution

x = \frac{4}{5}

- 4 = - ∣ x - 2 ∣ + 1

x^{2} - 3 ∣ x + 2 ∣ = 0

5 = ∣ m ∣ - 3

∣ 3 x + 5 ∣ = - 4

∣ 2 x + 10 ∣ = ∣ x + 1 ∣