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

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

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

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

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∣ 3 x + 2 ∣ = x + 1

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

Solution steps

∣ 3 x + 2 ∣ = x + 1

Find positive and negative intervals

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

Solve the inequality for each interval

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

∣ x - 4 ∣ + ∣ x - 8 ∣ + ∣ x - 12 ∣ = - 3

∣ x + 5 ∣ = 12

∣ 6 x - 4 ∣ (- 3) = - 9

∣ 2 x + 3 ∣ - ∣ 2 x - 5 ∣ = 6

x^{2} + x - 5 = ∣ 4 x - 1 ∣

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