What is the answer to |x-1|-|x-5|=8-x ?

The answer to |x-1|-|x-5|=8-x is x= 14/3

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|x-1|-|x-5|=8-x

∣ x - 1 ∣ - ∣ x - 5 ∣ = 8 - x

x = \frac{14}{3}

Decimal Notation

x = 4.66666 \dots

Solution steps

∣ x - 1 ∣ - ∣ x - 5 ∣ = 8 - x

Find positive and negative intervals

x < 1, 1 \leq x < 5, x \geq 5

Solve the inequality for each interval

No Solution or x = \frac{14}{3}

x = \frac{14}{3}

∣ x - 1.5 ∣ = 2

∣ x - 2 ∣ = ∣ 2 x + 1 ∣

∣ 2 x - 1 ∣ - 9 = 0

∣ 20 + 2 x ∣ = ∣ 4 x + 4 ∣

∣ x + 3 ∣ + ∣ x - 2 ∣ = 5

What is the answer to |x-1|-|x-5|=8-x ?
The answer to |x-1|-|x-5|=8-x is x= 14/3
Solve for x: |x-1|-|x-5|=8-x
The solution is x= 14/3