What is the answer to 4+| x/6 |=5 ?

The answer to 4+| x/6 |=5 is x=-6\lor x=6

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4+| x/6 |=5

4 + \frac{x}{6} = 5

x = - 6 or x = 6

Solution steps

4 + \frac{x}{6} = 5

Move

4

to the right side

\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

- 8 ∣ 3 y - 1 ∣ - 4 = - 20

∣ 2 x - 11 ∣ = 17

y, x = ∣ y + 1 ∣

∣ 2 x + 3 ∣ = 7, 2

∣ 8 x + 16 ∣ = 12