What is the answer to |5x-1|-5=4 ?

The answer to |5x-1|-5=4 is x=-8/5 \lor x=2

Solve for x: |5x-1|-5=4

The solution is x=-8/5 \lor x=2

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∣ 5 x - 1 ∣ - 5 = 4

x = - \frac{8}{5} or x = 2

Decimal Notation

x = - 1.6, x = 2

Solution steps

∣ 5 x - 1 ∣ - 5 = 4

Move

5

to the right side

∣ 5 x - 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 1 = - 9 or 5 x - 1 = 9

5 x - 1 = - 9 or 5 x - 1 = 9

x = - \frac{8}{5} or x = 2

3^{x} + ∣ x ∣ = 3

4 + 3 ∣ 3 x - 7 ∣ = 28

- 4 ∣ 5 x - 2 ∣ - 10 = - 38

1 - ∣ 10 - 5 x ∣ = - 5

∣ y + 7 ∣ = 19