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

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

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|3-x|=x

∣ 3 - x ∣ = x

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

∣ 3 - x ∣ = x

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

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

x = \frac{3}{2}

∣ x - 5 ∣ = - 4

∣ x - 4 ∣ + 5 = 2

∣ 4 n + 7 ∣ = 1

- 3 ∣ 5 x - 2 ∣ + 2 = - 13

3 ∣ 7 c - 7 ∣ - 9 = 12