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

The answer to |9x-6|-5=-5 is x= 2/3

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|9x-6|-5=-5

∣ 9 x - 6 ∣ - 5 = - 5

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ 9 x - 6 ∣ - 5 = - 5

Add

5

to both sides

∣ 9 x - 6 ∣ - 5 + 5 = - 5 + 5

Simplify

∣ 9 x - 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

9 x - 6 = 0

9 x - 6 = 0 : x = \frac{2}{3}

x = \frac{2}{3}

5 ∣ 7 + b ∣ = 80

- ∣ c ∣ = - 47

∣ - 2 k ∣ = 14

∣ 2 x + 9 ∣ = 17

∣ 2 x + 9 ∣ = 10