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

The answer to |x-2|=3-x is x= 5/2

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|x-2|=3-x

∣ x - 2 ∣ = 3 - x

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

∣ x - 2 ∣ = 3 - x

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = \frac{5}{2}

x = \frac{5}{2}

2 = ∣ r + 4 ∣

∣ 2 x + 7 ∣ = 11

12 - 2 ∣ x - 2 ∣ = 5

13 ∣ x - 8 ∣ = 10

2 ∣ y + 2 ∣ - 8 = 0