What is the answer to |3x+1|=2x+4 ?

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

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|3x+1|=2x+4

∣ 3 x + 1 ∣ = 2 x + 4

x = - 1 or x = 3

Solution steps

∣ 3 x + 1 ∣ = 2 x + 4

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 1 or x = 3

∣ x + 8 ∣ + 9 = 6

x, 9 ∣ x ∣ + y = 3

∣ 4 x - 10 ∣ + 2 = 15

8 ∣ w ∣ - 6 = 10

∣ d - 100 ∣ + 1 = 1