What is the answer to |5x+6|=41 ?

The answer to |5x+6|=41 is x=-47/5 \lor x=7

Solve for x: |5x+6|=41

The solution is x=-47/5 \lor x=7

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∣ 5 x + 6 ∣ = 41

x = - \frac{47}{5} or x = 7

Decimal Notation

x = - 9.4, x = 7

Solution steps

∣ 5 x + 6 ∣ = 41

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 6 = - 41 or 5 x + 6 = 41

5 x + 6 = - 41 or 5 x + 6 = 41

x = - \frac{47}{5} or x = 7

∣ 4 u ∣ + 6 = 38

∣ n - 2 ∣ = 12

5 ∣ x - 2 ∣ - 7 = 2

∣ x ∣ + 9 = 75

∣ 2 x + 7 ∣ - 4 x = 9