What is the answer to |3x+4|=8 ?

The answer to |3x+4|=8 is x=-4\lor x= 4/3

Solve for x: |3x+4|=8

The solution is x=-4\lor x= 4/3

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∣ 3 x + 4 ∣ = 8

x = - 4 or x = \frac{4}{3}

Decimal Notation

x = - 4, x = 1.33333 \dots

Solution steps

∣ 3 x + 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 8 or 3 x + 4 = 8

3 x + 4 = - 8 or 3 x + 4 = 8

x = - 4 or x = \frac{4}{3}

∣ 4 x - 2 ∣ = 26

8 + ∣ x - 5 ∣ = 11

- 8 ∣ 2 x - 6 ∣ + 4 = - 60

∣ 3 y - 14 ∣ = 17

19 = ∣ 5 c - 4 ∣