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

The answer to |3x-5|=2x is x=1\lor x=5

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|3x-5|=2x

∣ 3 x - 5 ∣ = 2 x

x = 1 or x = 5

Solution steps

∣ 3 x - 5 ∣ = 2 x

Find positive and negative intervals

x < \frac{5}{3}, x \geq \frac{5}{3}

Solve the inequality for each interval

x = 1 or x = 5

\frac{x}{5} = 10

∣ 8 - 4 x ∣ = 40

∣ 8 z - 4 ∣ = 8

6 x + 4 = ∣ x - 8 ∣

∣ 2 x - 11 ∣ - 6 = - 5