What is the answer to |5x+1|=5 ?

The answer to |5x+1|=5 is x=-6/5 \lor x= 4/5

Solve for x: |5x+1|=5

The solution is x=-6/5 \lor x= 4/5

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∣ 5 x + 1 ∣ = 5

x = - \frac{6}{5} or x = \frac{4}{5}

Decimal

x = - 1.2, x = 0.8

Solution steps

∣ 5 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 1 = - 5 or 5 x + 1 = 5

5 x + 1 = - 5 or 5 x + 1 = 5

x = - \frac{6}{5} or x = \frac{4}{5}

2 ∣ x - 1 ∣ - 8 = 6

u, ∣ 2 u + 14 ∣ = - 6

6 ∣ r - 1 ∣ = 0

∣ x ∣ = - 11.5

- ∣ p + 1 ∣ + 3 = - 1