What is the answer to |9-5x|=6 ?

The answer to |9-5x|=6 is x= 3/5 \lor x=3

Solve for x: |9-5x|=6

The solution is x= 3/5 \lor x=3

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∣ 9 - 5 x ∣ = 6

x = \frac{3}{5} or x = 3

Decimal Notation

x = 0.6, x = 3

Solution steps

∣ 9 - 5 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 5 x = - 6 or 9 - 5 x = 6

9 - 5 x = - 6 or 9 - 5 x = 6

x = \frac{3}{5} or x = 3

∣ 9 - 5 x ∣ = 4

∣ a - 4 ∣ = - 3 a - 6

2 ∣ 4 x - 6 ∣ = 12

∣ x + 9 ∣ - 6 = 5

∣ x + 9 ∣ - 6 = 3