What is the answer to -5| x/6 |=-5 ?

The answer to -5| x/6 |=-5 is x=-6\lor x=6

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-5| x/6 |=-5

- 5 \frac{x}{6} = - 5

x = - 6 or x = 6

Solution steps

- 5 \frac{x}{6} = - 5

Divide both sides by

- 5

\frac{x}{6} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{6} = - 1 or \frac{x}{6} = 1

\frac{x}{6} = - 1 or \frac{x}{6} = 1

x = - 6 or x = 6

∣ 9 + 4 x ∣ = 15

∣ 2 x - 7 ∣ = 3 x - 10

a ∣ x + 3 ∣ + (5 - a) ∣ x - 3 ∣ - 6 = 0

- 2 ∣ x - 9 ∣ + 33 = - 7 x - 3 + 33

x, 2 ∣ 7 - 4 x ∣ = 12