What is the answer to |3-x|=5+2x ?

The answer to |3-x|=5+2x is x=-2/3

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|3-x|=5+2x

∣ 3 - x ∣ = 5 + 2 x

x = - \frac{2}{3}

Solution steps

∣ 3 - x ∣ = 5 + 2 x

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

x = - \frac{2}{3} or No Solution

x = - \frac{2}{3}

∣ x - 5 ∣ = 14

∣ - 3 x ∣ = 2

∣ 8 - 3 x ∣ = 8

∣ 8 - 3 x ∣ = 9

∣ x - 5 ∣ = 20