What is the answer to |3x+2|=|x-1| ?

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

Solve for x: |3x+2|=|x-1|

The solution is x=-3/2 \lor x=-1/4

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∣ 3 x + 2 ∣ = ∣ x - 1 ∣

x = - \frac{3}{2} or x = - \frac{1}{4}

Solution steps

∣ 3 x + 2 ∣ = ∣ x - 1 ∣

Find positive and negative intervals

x < - \frac{2}{3}, - \frac{2}{3} \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{3}{2} or x = - \frac{1}{4} or No Solution

x = - \frac{3}{2} or x = - \frac{1}{4}

∣ x - 1 ∣ + ∣ 4 - x ∣ = 6

x^{2} - 5 ∣ x - 1 ∣ - 1 = 0

4 - 2 ∣ x - 1 ∣ = 7

∣ 3 x - 9 ∣ = 7 x - 29

∣ 4 - 3 x ∣ = ∣ - 4 ∣

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