What is the answer to |-2x|=19 ?

The answer to |-2x|=19 is x=-19/2 \lor x= 19/2

Solve for x: |-2x|=19

The solution is x=-19/2 \lor x= 19/2

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∣ - 2 x ∣ = 19

x = - \frac{19}{2} or x = \frac{19}{2}

Solution steps

∣ - 2 x ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x = - 19 or - 2 x = 19

- 2 x = - 19 or - 2 x = 19

x = - \frac{19}{2} or x = \frac{19}{2}

- 2 ∣ x - 3 ∣ = 4

∣ 2 x - 3 ∣ = 1 - x

∣ - 2 x + 1 ∣ - 5 = - 2

x^{6} ∣ - 8 + 5 x ∣ - 4 = 38

∣ 3 x + 14 ∣ = - 16