What is the answer to |5x+1|=9 ?

The answer to |5x+1|=9 is x=-2\lor x= 8/5

Solve for x: |5x+1|=9

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

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∣ 5 x + 1 ∣ = 9

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

Decimal Notation

x = - 2, x = 1.6

Solution steps

∣ 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 = - 2 or x = \frac{8}{5}

∣ a - 5 ∣ = a + 4

∣ 6 x + 9 ∣ = 3

∣ n ∣ = - 2

∣ - 9 + x ∣ = 3

∣ x + 3 ∣ = 3^{x} + 1