What is the answer to |9x+1|=73 ?

The answer to |9x+1|=73 is x=-74/9 \lor x=8

Solve for x: |9x+1|=73

The solution is x=-74/9 \lor x=8

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∣ 9 x + 1 ∣ = 73

x = - \frac{74}{9} or x = 8

Decimal Notation

x = - 8.22222 \dots, x = 8

Solution steps

∣ 9 x + 1 ∣ = 73

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x + 1 = - 73 or 9 x + 1 = 73

9 x + 1 = - 73 or 9 x + 1 = 73

x = - \frac{74}{9} or x = 8

6 + 4 ∣ x + 1 ∣ = 6

- 4 - ∣ x - 2 ∣ = - 12

∣ 7 - x ∣ = 15

x^{2} - x = 6

∣ 6 x - 5 ∣ = 4 x