What is the answer to |2x-9|=x ?

The answer to |2x-9|=x is x=3\lor x=9

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|2x-9|=x

∣ 2 x - 9 ∣ = x

x = 3 or x = 9

Solution steps

∣ 2 x - 9 ∣ = x

Find positive and negative intervals

x < \frac{9}{2}, x \geq \frac{9}{2}

Solve the inequality for each interval

x = 3 or x = 9

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