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

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

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|x+2|=3-x

∣ x + 2 ∣ = 3 - x

x = \frac{1}{2}

Decimal

x = 0.5

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{1}{2}

x = \frac{1}{2}

∣ x - 8 ∣ = x^{2} - 8 x

∣ 3 x - 9 ∣ = ∣ x - 7 ∣

\frac{∣ x ∣}{2} = 4

∣ 2 x ∣ + 1 = 0

∣ 1 - 2 x ∣ = 0