What is the answer to |x+1|+|x-2|=3x-4 ?

The answer to |x+1|+|x-2|=3x-4 is x=3

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

∣ x + 1 ∣ + ∣ x - 2 ∣ = 3 x - 4

x = 3

Solution steps

∣ x + 1 ∣ + ∣ x - 2 ∣ = 3 x - 4

Find positive and negative intervals

x < - 1, - 1 \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 3

x = 3

∣ 4 - 2 x ∣ + ∣ x + 7 ∣ = 30

a, ∣ a - b ∣ = \frac{∣ b ∣}{2}

∣ x ∣ + ∣ x - 2 ∣ = 0

∣ x ∣ + ∣ x - 2 ∣ = 4

∣ x - 1 ∣ = ∣ 2 x + 1 ∣