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

The answer to |2x-5|-2=x is x=1\lor x=7

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|2x-5|-2=x

∣ 2 x - 5 ∣ - 2 = x

x = 1 or x = 7

Solution steps

∣ 2 x - 5 ∣ - 2 = x

Find positive and negative intervals

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

Solve the inequality for each interval

x = 1 or x = 7

j^{2} - 10 j + 24

\frac{3}{8} + \frac{1}{8}

x - 9 = 15

2 x - 1 < 6 x + 7

\frac{x ^{2}}{0.2} = \frac{1}{230000}