What is the answer to |6x+8|=6 ?

The answer to |6x+8|=6 is x=-7/3 \lor x=-1/3

Solve for x: |6x+8|=6

The solution is x=-7/3 \lor x=-1/3

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∣ 6 x + 8 ∣ = 6

x = - \frac{7}{3} or x = - \frac{1}{3}

Decimal Notation

x = - 2.33333 \dots, x = - 0.33333 \dots

Solution steps

∣ 6 x + 8 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 8 = - 6 or 6 x + 8 = 6

6 x + 8 = - 6 or 6 x + 8 = 6

x = - \frac{7}{3} or x = - \frac{1}{3}

∣ 4 - 5 x ∣ = 6

∣ - 11 z + 7 ∣ + 8 = 5

\frac{1}{x} + 3 = 2

∣ x + 1 ∣ = x + 1

∣ 5 n + 7 ∣ = 23