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

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

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|x-3|=x+2

∣ x - 3 ∣ = x + 2

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ x - 3 ∣ = x + 2

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}

∣ 5 x - 10 ∣ = 0

∣ x - 3 ∣ = x + 5

\frac{4 x + 1}{3} = 1

10 ∣ z - 8 ∣ + 6 = 16

∣ 7 x - 3 ∣ + 4 = 15