What is the answer to |-6x-5|=41 ?

The answer to |-6x-5|=41 is x=-23/3 \lor x=6

Solve for x: |-6x-5|=41

The solution is x=-23/3 \lor x=6

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∣ - 6 x - 5 ∣ = 41

x = - \frac{23}{3} or x = 6

Decimal

x = - 7.66666 \dots, x = 6

Solution steps

∣ - 6 x - 5 ∣ = 41

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 x - 5 = - 41 or - 6 x - 5 = 41

- 6 x - 5 = - 41 or - 6 x - 5 = 41

x = - \frac{23}{3} or x = 6

∣ 6 x ∣ = 0

y, ∣ x - y ∣ = 0

x^{2} - 3 x ∣ - 2 ∣ = 2

- 5 \frac{r}{4} = - 5

\frac{k}{3} - 2 = 0