What is the answer to |6x|-1=11 ?

The answer to |6x|-1=11 is x=-2\lor x=2

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|6x|-1=11

∣ 6 x ∣ - 1 = 11

x = - 2 or x = 2

Solution steps

∣ 6 x ∣ - 1 = 11

Move

1

to the right side

∣ 6 x ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x = - 12 or 6 x = 12

6 x = - 12 or 6 x = 12

x = - 2 or x = 2

35 (b - 1) + 5 = 5 (7 b - 6)

- 11 b = 44

\frac{- 2 ( m + 1 )}{m + 1} > 0

x - 15 = 20

\frac{2}{5} \cdot \frac{10}{3}