What is the answer to |2x|=9 ?

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

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

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|2x|=9

∣ 2 x ∣ = 9

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

Solution steps

∣ 2 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 9 or 2 x = 9

2 x = - 9 or 2 x = 9

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

- 2 ∣ x + 5 ∣ + 4 = 2

∣ 4 x + 1 ∣ - 5 = 2 x

∣ - 2 x ∣ = 6

∣ r + 8 ∣ = 8

∣ 5 b + 9 ∣ + 16 = 2