What is the answer to |3x+8|=1 ?

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

Solve for x: |3x+8|=1

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

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∣ 3 x + 8 ∣ = 1

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

Decimal Notation

x = - 3, x = - 2.33333 \dots

Solution steps

∣ 3 x + 8 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 1 or 3 x + 8 = 1

3 x + 8 = - 1 or 3 x + 8 = 1

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

3 ∣ 9 - x ∣ - 7 = 2

∣ 6 x + 8 ∣ = 32

4 ∣ 10 - 3 x ∣ + 3 = 51

∣ 2 b + 2 ∣ = 6

∣ 5 x + 9 ∣ - 9 = 4 x