What is the answer to |3x-1|=7 ?

The answer to |3x-1|=7 is x=-2\lor x= 8/3

Solve for x: |3x-1|=7

The solution is x=-2\lor x= 8/3

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∣ 3 x - 1 ∣ = 7

x = - 2 or x = \frac{8}{3}

Solution steps

∣ 3 x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 7 or 3 x - 1 = 7

3 x - 1 = - 7 or 3 x - 1 = 7

x = - 2 or x = \frac{8}{3}

2 x^{2} - 6 x + 8 = x^{2} + x + 12

\frac{- 5}{9} + \frac{2}{3}

5 x^{2} - 15 x = 0

x - \frac{2}{3} = \frac{5 x}{7} + \frac{1}{2}

(x - 2)^{2} + x (x - 3) = 3 (x + 4) (x - 3) - (x + 2) (x - 1) + 2