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

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

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|3x+2|=2x+3

∣ 3 x + 2 ∣ = 2 x + 3

x = - 1 or x = 1

Solution steps

∣ 3 x + 2 ∣ = 2 x + 3

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 1 or x = 1

∣ 3 x - 7 ∣ = 8

7 ∣ x - 2 ∣ = 6

- ∣ 7 - x ∣ - 5 = - 12

∣ 4 x - 4 ∣ - 8 = - 3

∣ 5 x - 1 ∣ - 5 = 4