What is the answer to |1-5x|=29 ?

The answer to |1-5x|=29 is x=-28/5 \lor x=6

Solve for x: |1-5x|=29

The solution is x=-28/5 \lor x=6

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∣ 1 - 5 x ∣ = 29

x = - \frac{28}{5} or x = 6

Decimal

x = - 5.6, x = 6

Solution steps

∣ 1 - 5 x ∣ = 29

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 5 x = - 29 or 1 - 5 x = 29

1 - 5 x = - 29 or 1 - 5 x = 29

x = - \frac{28}{5} or x = 6

x^{2} + x - 5 = x^{2} + 5

2 ∣ x - 6 ∣ - 16 = 6 x

∣ x + 5 ∣ = 1

\frac{5 ∣ 2 x - 4 ∣}{4} = 10

3 x^{2} - 17 x + 10 = 10