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

The answer to 3|x+2|-x=3 is x=-9/4 \lor x=-3/2

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

The solution is x=-9/4 \lor x=-3/2

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3 ∣ x + 2 ∣ - x = 3

x = - \frac{9}{4} or x = - \frac{3}{2}

Solution steps

3 ∣ x + 2 ∣ - x = 3

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

x = - \frac{9}{4} or x = - \frac{3}{2}

∣ x - 5 ∣^{2} + ∣ x - 5 ∣ - 24 = 0

1 x^{2} - x + ∣ x + 1 ∣ = 5

∣ 3 x + 2 ∣ = x + 1, ∣ 2 x - 3 ∣ = x - 5, ∣ 3 x - 2 ∣ = 2 x + 3

y, 17 x^{2} - 16 ∣ x ∣ y + 17 y^{2} = 225

x^{2} + 2 ∣ x ∣ = 15

What is the answer to 3|x+2|-x=3 ?
The answer to 3|x+2|-x=3 is x=-9/4 \lor x=-3/2
Solve for x: 3|x+2|-x=3
The solution is x=-9/4 \lor x=-3/2