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

The answer to |1-6x|=6 is x=-5/6 \lor x= 7/6

Solve for x: |1-6x|=6

The solution is x=-5/6 \lor x= 7/6

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∣ 1 - 6 x ∣ = 6

x = - \frac{5}{6} or x = \frac{7}{6}

Decimal Notation

x = - 0.83333 \dots, x = 1.16666 \dots

Solution steps

∣ 1 - 6 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 6 x = - 6 or 1 - 6 x = 6

1 - 6 x = - 6 or 1 - 6 x = 6

x = - \frac{5}{6} or x = \frac{7}{6}

∣ 2 x - 3 ∣ - x = 2

5 ∣ 2 Z + 7 ∣ = 20

∣ 4 u + 10 ∣ = 2

\frac{y}{4} = 8

- 5 ∣ h ∣ = - 10