What is the answer to |3x-8|-|3x-2|=6 ?

The answer to |3x-8|-|3x-2|=6 is x<= 2/3

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|3x-8|-|3x-2|=6

∣ 3 x - 8 ∣ - ∣ 3 x - 2 ∣ = 6

x \leq \frac{2}{3}

Solution steps

∣ 3 x - 8 ∣ - ∣ 3 x - 2 ∣ = 6

Find positive and negative intervals

x < \frac{2}{3}, \frac{2}{3} \leq x < \frac{8}{3}, x \geq \frac{8}{3}

Solve the inequality for each interval

x < \frac{2}{3} or x = \frac{2}{3} or No Solution

Merge Overlapping Intervals

x \leq \frac{2}{3}

- 3 ∣ x + 5 ∣ + 8 = - 10

∣ 3 - 3 x ∣ = 5

∣ 3 x + 4 ∣ - 6 = 28

∣ 3 x - 2 ∣ = ∣ 2 x + 7 ∣

- 8 ∣ f ∣ + 6 = - 2

What is the answer to |3x-8|-|3x-2|=6 ?
The answer to |3x-8|-|3x-2|=6 is x<= 2/3
Solve for x: |3x-8|-|3x-2|=6
The solution is x<= 2/3