What is the answer to 6|5x+8|=48 ?

The answer to 6|5x+8|=48 is x=-16/5 \lor x=0

Solve for x: 6|5x+8|=48

The solution is x=-16/5 \lor x=0

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6 ∣ 5 x + 8 ∣ = 48

x = - \frac{16}{5} or x = 0

Decimal Notation

x = - 3.2, x = 0

Solution steps

6 ∣ 5 x + 8 ∣ = 48

Divide both sides by

6

∣ 5 x + 8 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 8 = - 8 or 5 x + 8 = 8

5 x + 8 = - 8 or 5 x + 8 = 8

x = - \frac{16}{5} or x = 0

∣ 2 x ∣ = - 10

∣ x - 8 ∣ + 15 = 6

∣ - 32 p ∣ = 320

∣ 2 + 3 c ∣ - 10 = - 1

- 8 ∣ - 5 g - 9 ∣ = 0