What is the answer to 10=|-1-3x| ?

The answer to 10=|-1-3x| is x=-11/3 \lor x=3

Solve for x: 10=|-1-3x|

The solution is x=-11/3 \lor x=3

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10 = ∣ - 1 - 3 x ∣

x = - \frac{11}{3} or x = 3

Decimal Notation

x = - 3.66666 \dots, x = 3

Solution steps

10 = ∣ - 1 - 3 x ∣

Switch sides

∣ - 1 - 3 x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 1 - 3 x = - 10 or - 1 - 3 x = 10

- 1 - 3 x = - 10 or - 1 - 3 x = 10

x = - \frac{11}{3} or x = 3

∣ y + 3 ∣ = 3

4 ∣ x + 6 ∣ + 8 = 28

∣ y + 3 ∣ = 5

- 2 ∣ 7 n - 1 ∣ + 4 = 0

81 = ∣ 9 x ∣