What is the answer to |3x+1|=7 ?

The answer to |3x+1|=7 is x=-8/3 \lor x=2

Solve for x: |3x+1|=7

The solution is x=-8/3 \lor x=2

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∣ 3 x + 1 ∣ = 7

x = - \frac{8}{3} or x = 2

Decimal Notation

x = - 2.66666 \dots, x = 2

Solution steps

∣ 3 x + 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 7 or 3 x + 1 = 7

3 x + 1 = - 7 or 3 x + 1 = 7

x = - \frac{8}{3} or x = 2

∣ 5 x - 1 x + 2 ∣ = 4

∣ 1 - 2 x ∣ = 5

∣ 13 x + 5 ∣ + 7 = 2

0 = ∣ 3 b - 5 ∣

- \frac{1}{2} ∣ x - 1 ∣ = 0