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

The answer to |3+2x|=3-x is x=-6\lor x=0

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|3+2x|=3-x

∣ 3 + 2 x ∣ = 3 - x

x = - 6 or x = 0

Solution steps

∣ 3 + 2 x ∣ = 3 - x

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 6 or x = 0

∣ 5 + 8 a ∣ = 53

∣ 2 x - 1 ∣ = 3 x - 4

- 2 ∣ x - 4 ∣ + 7 = - 3

x^{2} - 3 x - 2 = ∣ x - 1 ∣

∣ x - 3 ∣ = 5 x + 9