What is the answer to |7x-9|=12 ?

The answer to |7x-9|=12 is x=-3/7 \lor x=3

Solve for x: |7x-9|=12

The solution is x=-3/7 \lor x=3

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∣ 7 x - 9 ∣ = 12

x = - \frac{3}{7} or x = 3

Decimal Notation

x = - 0.42857 \dots, x = 3

Solution steps

∣ 7 x - 9 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 9 = - 12 or 7 x - 9 = 12

7 x - 9 = - 12 or 7 x - 9 = 12

x = - \frac{3}{7} or x = 3

8 - 4 ∣ 2 x - 1 ∣ = - 16

- ∣ 9 v - 2 ∣ + 3 = - 76

- 5 ∣ 4 n + 6 ∣ + 2 = - 8

\frac{2}{3} x - 1 = 5

∣ x ∣ - 6 = 3