What is the answer to |5n+7|=23 ?

The answer to |5n+7|=23 is n=-6\lor n= 16/5

Solve for n: |5n+7|=23

The solution is n=-6\lor n= 16/5

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∣ 5 n + 7 ∣ = 23

n = - 6 or n = \frac{16}{5}

Decimal Notation

n = - 6, n = 3.2

Solution steps

∣ 5 n + 7 ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 n + 7 = - 23 or 5 n + 7 = 23

5 n + 7 = - 23 or 5 n + 7 = 23

n = - 6 or n = \frac{16}{5}

\frac{3 + x}{2} = 5 + x

∣ 4 y + 3 ∣ = 5

∣ - 12 y + 2 ∣ + 9 = 8

- 4 = ∣ f ∣ - 2

∣ 9 - 9 p ∣ = 0