What is the answer to |5a+8|=23 ?

The answer to |5a+8|=23 is a=-31/5 \lor a=3

Solve for a: |5a+8|=23

The solution is a=-31/5 \lor a=3

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∣ 5 a + 8 ∣ = 23

a = - \frac{31}{5} or a = 3

Decimal Notation

a = - 6.2, a = 3

Solution steps

∣ 5 a + 8 ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 a + 8 = - 23 or 5 a + 8 = 23

5 a + 8 = - 23 or 5 a + 8 = 23

a = - \frac{31}{5} or a = 3

- 4 ∣ x ∣ + 3 = - 5

∣ x ∣ = x^{2} + x - 4

∣ x ∣ = x^{2} + x - 2

8 - ∣ - 7 p + 8 ∣ = 2

2 = ∣ m - 4 ∣