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

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

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2|x|+x=3

2 ∣ x ∣ + x = 3

x = - 3 or x = 1

Solution steps

2 ∣ x ∣ + x = 3

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 3 or x = 1

5 (q + 3) = 15

18 x^{2} - 24 x + 87 = 0

- 1 \leq \frac{3}{4} x + 2 < 8

- 9 \leq 2 x + 7 \leq 9

4.5 (x - 9) = 2.96