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

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

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|x-3|=5-2x

∣ x - 3 ∣ = 5 - 2 x

x = 2

Solution steps

∣ x - 3 ∣ = 5 - 2 x

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = 2 or No Solution

x = 2

∣ x + 5 ∣ + ∣ 3 - 5 ∣ = 15

∣ x - 1 ∣ + ∣ x - 3 ∣ + 3 ∣ 5 - x ∣ = 9

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ + ∣ x - 4 ∣ = 4

∣ x + 2 ∣ = - 17

(x - 1) (∣ x ∣ - 1) = \frac{- 1}{2}