What is the answer to |2+x|=|x-8| ?

The answer to |2+x|=|x-8| is x=3

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|2+x|=|x-8|

∣ 2 + x ∣ = ∣ x - 8 ∣

x = 3

Solution steps

∣ 2 + x ∣ = ∣ x - 8 ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < 8, x \geq 8

Solve the inequality for each interval

No Solution or x = 3

x = 3

∣ 3 x + 1 ∣ = x - 2

\frac{( x - 3 )}{4}^{2} = \frac{9}{4}

4 x (x - 3) - 5 ∣ 2 x - 3 ∣ + 13 = 0

∣ x ∣ = x + 2

(8) ∣ 2 x - 3 ∣ = ∣ 3 x + 5 ∣