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

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

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|x-3|=x

∣ x - 3 ∣ = x

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

∣ x - 3 ∣ = x

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = \frac{3}{2} or No Solution

x = \frac{3}{2}

9 - ∣ 3 x + 9 ∣ = 3

∣ 3 x - 2 ∣ = 9

∣ v ∣ - 4 = 4

∣ x + 2 ∣ = - \frac{3}{2}

∣ x + 14 ∣ + 3 = 17