What is the answer to |3x+2|=8 ?

The answer to |3x+2|=8 is x=-10/3 \lor x=2

Solve for x: |3x+2|=8

The solution is x=-10/3 \lor x=2

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∣ 3 x + 2 ∣ = 8

x = - \frac{10}{3} or x = 2

Solution steps

∣ 3 x + 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 8 or 3 x + 2 = 8

3 x + 2 = - 8 or 3 x + 2 = 8

x = - \frac{10}{3} or x = 2

2 ∣ 4 x - 5 ∣ - 8 = - 6

∣ x - 2 ∣ = 3 x

5 + ∣ x - 2 ∣ = 7

∣ 0.5 x + 3 ∣ = x^{2} - 4

∣ x + 4 ∣ = - 7