What is the answer to |3x+1|=x+5 ?

The answer to |3x+1|=x+5 is x=-3/2 \lor x=2

Solve for x: |3x+1|=x+5

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

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∣ 3 x + 1 ∣ = x + 5

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

Decimal Notation

x = - 1.5, x = 2

Solution steps

∣ 3 x + 1 ∣ = x + 5

Find positive and negative intervals

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

Solve the inequality for each interval

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

- 3 + 4 ∣ 5 x - 3 ∣ = 25

∣ 2 x - 4 ∣ = 2 x + 2

2 ∣ k - 4 ∣ = 6

20 = ∣ v - 20 ∣

∣ x - 6 ∣ + 2 = - 5