What is the answer to | x/6 |-4=-3 ?

The answer to | x/6 |-4=-3 is x=-6\lor x=6

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| x/6 |-4=-3

\frac{x}{6} - 4 = - 3

x = - 6 or x = 6

Solution steps

\frac{x}{6} - 4 = - 3

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

∣ w + 1 ∣ = 6

∣ 7 x + 6 ∣ = - 2

∣ w - 5 ∣ + 5 = 21

5 = ∣ w + 4 ∣

∣ a - 15 ∣ = 2828