What is the answer to |5x-2|=12 ?

The answer to |5x-2|=12 is x=-2\lor x= 14/5

Solve for x: |5x-2|=12

The solution is x=-2\lor x= 14/5

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∣ 5 x - 2 ∣ = 12

x = - 2 or x = \frac{14}{5}

Solution steps

∣ 5 x - 2 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 12 or 5 x - 2 = 12

5 x - 2 = - 12 or 5 x - 2 = 12

x = - 2 or x = \frac{14}{5}

\frac{1}{x} - \frac{1}{y}

9 x^{2} - 12 x - 4 = 0

x^{2} - 9 x = - 2 x - 6

- \frac{1}{3} + \frac{1}{9}

(5^{- 6})^{- 4}