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

The answer to |6x+2|=6 is x=-4/3 \lor x= 2/3

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

The solution is x=-4/3 \lor x= 2/3

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∣ 6 x + 2 ∣ = 6

x = - \frac{4}{3} or x = \frac{2}{3}

Decimal Notation

x = - 1.33333 \dots, x = 0.66666 \dots

Solution steps

∣ 6 x + 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{4}{3} or x = \frac{2}{3}

200 x = 110.5 x + 89500

400 = 16 t^{2}

\frac{10}{3} + \frac{2}{7} - \frac{1}{2}

8 x^{2} + 2 x + 1 = 0

\frac{x - 7}{x + 8} \leq 0