What is the answer to |5x+1|=3 ?

The answer to |5x+1|=3 is x=-4/5 \lor x= 2/5

Solve for x: |5x+1|=3

The solution is x=-4/5 \lor x= 2/5

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∣ 5 x + 1 ∣ = 3

x = - \frac{4}{5} or x = \frac{2}{5}

Decimal

x = - 0.8, x = 0.4

Solution steps

∣ 5 x + 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 1 = - 3 or 5 x + 1 = 3

5 x + 1 = - 3 or 5 x + 1 = 3

x = - \frac{4}{5} or x = \frac{2}{5}

∣ 5 x + 1 ∣ = 9

∣ a - 5 ∣ = a + 4

∣ 6 x + 9 ∣ = 3

∣ n ∣ = - 2

∣ - 9 + x ∣ = 3