What is the answer to |5x-1|=6 ?

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

Solve for x: |5x-1|=6

The solution is x=-1\lor x= 7/5

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∣ 5 x - 1 ∣ = 6

x = - 1 or x = \frac{7}{5}

Solution steps

∣ 5 x - 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 1 = - 6 or 5 x - 1 = 6

5 x - 1 = - 6 or 5 x - 1 = 6

x = - 1 or x = \frac{7}{5}

\frac{9 x}{4} + 6 = 0

- 3 ∣ 2 x + 1 ∣ = - 15

4 = a + ∣ x - 4 ∣

∣ m - 3 ∣ = 12 - 2 m

2 x^{2} - 4 x + 1 = 1