What is the answer to |x-6|-|x-3|=|x-1| ?

The answer to |x-6|-|x-3|=|x-1| is x=-2\lor x= 10/3

Solve for x: |x-6|-|x-3|=|x-1|

The solution is x=-2\lor x= 10/3

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∣ x - 6 ∣ - ∣ x - 3 ∣ = ∣ x - 1 ∣

x = - 2 or x = \frac{10}{3}

Decimal

x = - 2, x = 3.33333 \dots

Solution steps

∣ x - 6 ∣ - ∣ x - 3 ∣ = ∣ x - 1 ∣

Find positive and negative intervals

x < 1, 1 \leq x < 3, 3 \leq x < 6, x \geq 6

Solve the inequality for each interval

x = - 2 or No Solution or x = \frac{10}{3}

x = - 2 or x = \frac{10}{3}

3 ∣ 2 x + 6 ∣ + 1 = 19

x, 3 ∣ z - 1 ∣ = ∣ 9 - x ∣

- 3 ∣ 2 w - 9 ∣ + 11 = - 4

∣ 5 a + 4 ∣ = ∣ 6 a - 2 ∣

4 ∣ 2 x - 4 ∣ = 40

What is the answer to |x-6|-|x-3|=|x-1| ?
The answer to |x-6|-|x-3|=|x-1| is x=-2\lor x= 10/3
Solve for x: |x-6|-|x-3|=|x-1|
The solution is x=-2\lor x= 10/3