What is the answer to x|x+2|=|4-x| ?

The answer to x|x+2|=|4-x| is x=1

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x|x+2|=|4-x|

x ∣ x + 2 ∣ = ∣ 4 - x ∣

x = 1

Solution steps

x ∣ x + 2 ∣ = ∣ 4 - x ∣

Find positive and negative intervals

x < - 2, - 2 \leq x \leq 4, x > 4

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ x ∣ + ∣ y ∣ = 2

∣ - x + 4 ∣ = 2 x - 3

∣ x - 2 ∣ + ∣ x + 2 ∣ = 4

∣ 5 x - 2 ∣ - 5 = 0

\frac{2 \frac{2}{3} - x + 1}{4} = \frac{3}{4}