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

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

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

2 ∣ x + 1 ∣ - ∣ 2 x - 4 ∣ = 1

x = \frac{3}{4}

Decimal

x = 0.75

Solution steps

2 ∣ x + 1 ∣ - ∣ 2 x - 4 ∣ = 1

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = \frac{3}{4}

x = \frac{3}{4}

∣ x + 1 ∣ + ∣ 5 x - 2 ∣ = 6

(x - 3)^{2} - 12 ∣ x - 3 ∣ + 35 = 0

- 11 = - 2 ∣ 5 d - 1 ∣ - 3

x^{3} + x - 1 = x + 1

∣ x + 1 ∣ + ∣ 2 x - 3 ∣ = 8