What is the answer to |x-1|+|2x+4|=5 ?

The answer to |x-1|+|2x+4|=5 is x=-8/3 \lor x=0

Solve for x: |x-1|+|2x+4|=5

The solution is x=-8/3 \lor x=0

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∣ x - 1 ∣ + ∣ 2 x + 4 ∣ = 5

x = - \frac{8}{3} or x = 0

Decimal

x = - 2.66666 \dots, x = 0

Solution steps

∣ x - 1 ∣ + ∣ 2 x + 4 ∣ = 5

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{8}{3} or x = 0 or No Solution

x = - \frac{8}{3} or x = 0

∣ a + 2 ∣ = 3 + a

∣ 2 x + 4 ∣ + ∣ x - 5 ∣ = 2 x

∣ x - 1 ∣ - ∣ 2 x - 5 ∣ = 2 x

x^{2} - 3 ∣ x ∣ + 2 = 0

3 ∣ 1 - 2 x ∣ - 9 = 0

What is the answer to |x-1|+|2x+4|=5 ?
The answer to |x-1|+|2x+4|=5 is x=-8/3 \lor x=0
Solve for x: |x-1|+|2x+4|=5
The solution is x=-8/3 \lor x=0