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

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

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

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

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∣ 3 x + 1 ∣ = 10

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

Decimal Notation

x = - 3.66666 \dots, x = 3

Solution steps

∣ 3 x + 1 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ - 3 x + 6 ∣ = 15

7 = \frac{c}{7}

∣ y + 1 ∣ = 41

2 ∣ x - 12 ∣ + 5 = 3

∣ q ∣ = - 7