What is the answer to |6x+2|=5 ?

The answer to |6x+2|=5 is x=-7/6 \lor x= 1/2

Solve for x: |6x+2|=5

The solution is x=-7/6 \lor x= 1/2

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∣ 6 x + 2 ∣ = 5

x = - \frac{7}{6} or x = \frac{1}{2}

Decimal Notation

x = - 1.16666 \dots, x = 0.5

Solution steps

∣ 6 x + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 2 = - 5 or 6 x + 2 = 5

6 x + 2 = - 5 or 6 x + 2 = 5

x = - \frac{7}{6} or x = \frac{1}{2}

∣ 4 - 3 x ∣ = - 2

∣ 4 x - 11 ∣ = 8

3 ∣ 2 x - 1 ∣ = 27

∣ n + 9 ∣ = 10

- 2 ∣ 3 x - 3 ∣ + 5 = 2