What is the answer to |3x+5|=6 ?

The answer to |3x+5|=6 is x=-11/3 \lor x= 1/3

Solve for x: |3x+5|=6

The solution is x=-11/3 \lor x= 1/3

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∣ 3 x + 5 ∣ = 6

x = - \frac{11}{3} or x = \frac{1}{3}

Decimal Notation

x = - 3.66666 \dots, x = 0.33333 \dots

Solution steps

∣ 3 x + 5 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 6 or 3 x + 5 = 6

3 x + 5 = - 6 or 3 x + 5 = 6

x = - \frac{11}{3} or x = \frac{1}{3}

∣ 2 x + 1 ∣ + 15 = 8

∣ 10 x ∣ = 80

∣ s + 4 ∣ = 23

∣ x - 5.5 ∣ = 3.5

2 ∣ x + 2 ∣ - 4 = 8