What is the answer to |6x+1|=13 ?

The answer to |6x+1|=13 is x=-7/3 \lor x=2

Solve for x: |6x+1|=13

The solution is x=-7/3 \lor x=2

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∣ 6 x + 1 ∣ = 13

x = - \frac{7}{3} or x = 2

Decimal Notation

x = - 2.33333 \dots, x = 2

Solution steps

∣ 6 x + 1 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 1 = - 13 or 6 x + 1 = 13

6 x + 1 = - 13 or 6 x + 1 = 13

x = - \frac{7}{3} or x = 2

∣ 4 x + 3 ∣ = - 5 x

- ∣ w ∣ = - 12

- 5 ∣ g ∣ = 0

∣ x + 3 ∣ = 4 x

2 ∣ 4 - 3 x ∣ = 12 x + 4