What is the answer to |-2/3 x-1|=5 ?

The answer to |-2/3 x-1|=5 is x=-9\lor x=6

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|-2/3 x-1|=5

- \frac{2}{3} x - 1 = 5

x = - 9 or x = 6

Solution steps

- \frac{2}{3} x - 1 = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- \frac{2}{3} x - 1 = - 5 or - \frac{2}{3} x - 1 = 5

- \frac{2}{3} x - 1 = - 5 or - \frac{2}{3} x - 1 = 5

x = - 9 or x = 6

∣ 3 y + 9 ∣ - 10 = - 4

x, y = f ∣ x + 2 ∣ - 1

- 2 ∣ p + 6 ∣ = - 14

\frac{1}{3} ∣ x - 11 ∣ + 3 = 6

3 ∣ 2 x + 4 ∣ + 5 = 5