What is the answer to |3x+8|=7 ?

The answer to |3x+8|=7 is x=-5\lor x=-1/3

Solve for x: |3x+8|=7

The solution is x=-5\lor x=-1/3

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∣ 3 x + 8 ∣ = 7

x = - 5 or x = - \frac{1}{3}

Decimal Notation

x = - 5, x = - 0.33333 \dots

Solution steps

∣ 3 x + 8 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 7 or 3 x + 8 = 7

3 x + 8 = - 7 or 3 x + 8 = 7

x = - 5 or x = - \frac{1}{3}

∣ 3 x + 8 ∣ = 0

∣ 3 + 4 k ∣ = 23

∣ 3 x + 8 ∣ = 2

5 = ∣ x ∣ + 3

4 ∣ x + 5 ∣ + 2 = 0