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

The answer to 3/2 =|x+2| is x=-7/2 \lor x=-1/2

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

The solution is x=-7/2 \lor x=-1/2

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\frac{3}{2} = ∣ x + 2 ∣

x = - \frac{7}{2} or x = - \frac{1}{2}

Solution steps

\frac{3}{2} = ∣ x + 2 ∣

Switch sides

∣ x + 2 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - \frac{3}{2} or x + 2 = \frac{3}{2}

x + 2 = - \frac{3}{2} or x + 2 = \frac{3}{2}

x = - \frac{7}{2} or x = - \frac{1}{2}

∣ 10 x - 9 ∣ = 21

4 ∣ 7 w + 14 ∣ = 28

∣ x + 3 ∣ + 12 = 5

∣ x + 6 ∣ = 2 x + 6

∣ 11 - 2 x ∣ = 5

What is the answer to 3/2 =|x+2| ?
The answer to 3/2 =|x+2| is x=-7/2 \lor x=-1/2
Solve for x: 3/2 =|x+2|
The solution is x=-7/2 \lor x=-1/2