What is the answer to | x/(3-4)|=3 ?

The answer to | x/(3-4)|=3 is x=-3\lor x=3

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| x/(3-4)|=3

\frac{x}{3 - 4} = 3

x = - 3 or x = 3

Solution steps

\frac{x}{3 - 4} = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 3 or x = 3

2 ∣ 5 x - 2 ∣ + 8 = 12

∣ 2 x - 1 ∣ = ∣ 1 - x ∣

1 = ∣ - 9 x ∣ + 1

3 - 5 \frac{2}{3} x + 4 = - 7

∣ 2 d ∣ = 96