What is the answer to 32=|5a+8| ?

The answer to 32=|5a+8| is a=-8\lor a= 24/5

Solve for a: 32=|5a+8|

The solution is a=-8\lor a= 24/5

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32 = ∣ 5 a + 8 ∣

a = - 8 or a = \frac{24}{5}

Decimal Notation

a = - 8, a = 4.8

Solution steps

32 = ∣ 5 a + 8 ∣

Switch sides

∣ 5 a + 8 ∣ = 32

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 a + 8 = - 32 or 5 a + 8 = 32

5 a + 8 = - 32 or 5 a + 8 = 32

a = - 8 or a = \frac{24}{5}

∣ 2 c ∣ = 16

∣ 8 + 5 x ∣ + 1 = 3

8 ∣ - 2 x + 4 ∣ = 96

∣ 3 x - 1 ∣ = - 1

\frac{b}{12} = 8