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

The answer to |5x-2|=5 is x=-3/5 \lor x= 7/5

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

The solution is x=-3/5 \lor x= 7/5

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∣ 5 x - 2 ∣ = 5

x = - \frac{3}{5} or x = \frac{7}{5}

Decimal Notation

x = - 0.6, x = 1.4

Solution steps

∣ 5 x - 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{3}{5} or x = \frac{7}{5}

5 = ∣ z - 15 ∣

3 ∣ 2 - x ∣ - 15 = 4

- 5 - 2 ∣ 6 - 2 m ∣ = - 25

3 + 3 ∣ n - 4 ∣ = 3

3 - 5 ∣ 2 d - 3 ∣ = 1