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

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

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|x-3|-2=x

∣ x - 3 ∣ - 2 = x

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ x - 3 ∣ - 2 = x

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = \frac{1}{2} or No Solution

x = \frac{1}{2}

x^{2} - 4 x + 4 = 2

3 x \frac{3}{2} = 6

∣ x + 3 ∣ = 4 - 5 x

∣ 9 x ∣ = 81

∣ 9 - 10 n ∣ = 61