What is the answer to |x-7|=|3x-1| ?

The answer to |x-7|=|3x-1| is x=-3\lor x=2

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|x-7|=|3x-1|

∣ x - 7 ∣ = ∣ 3 x - 1 ∣

x = - 3 or x = 2

Solution steps

∣ x - 7 ∣ = ∣ 3 x - 1 ∣

Find positive and negative intervals

x < \frac{1}{3}, \frac{1}{3} \leq x < 7, x \geq 7

Solve the inequality for each interval

x = - 3 or x = 2 or No Solution

x = - 3 or x = 2

4 ∣ y - 5 ∣ - 8 = 0

∣ x + 1 ∣ + ∣ x - 2 ∣ = 9

\frac{x}{2} - 4 = 4

2 - 8 ∣ t ∣ = - 14

10 = ∣ 12 + 2 x ∣