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

The answer to |x+2|=2(3-x) is x= 4/3

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|x+2|=2(3-x)

∣ x + 2 ∣ = 2 (3 - x)

x = \frac{4}{3}

Solution steps

∣ x + 2 ∣ = 2 (3 - x)

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

No Solution or x = \frac{4}{3}

x = \frac{4}{3}

∣ x - 1 ∣ + ∣ x - 3 ∣ = 2

(x + 1) (∣ x ∣ - 1) = \frac{- 1}{2}

x^{2} + x - 1 = 2 x - 1

x ∣ x ∣ = 4

∣ x + 1 ∣ + ∣ x - 1 ∣ = ∣ 2 x ∣