What is the answer to 1/7 |x-3|-2=9 ?

The answer to 1/7 |x-3|-2=9 is x=-74\lor x=80

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1/7 |x-3|-2=9

\frac{1}{7} ∣ x - 3 ∣ - 2 = 9

x = - 74 or x = 80

Solution steps

\frac{1}{7} ∣ x - 3 ∣ - 2 = 9

Move

2

to the right side

\frac{1}{7} ∣ x - 3 ∣ = 11

Multiply both sides by

7

∣ x - 3 ∣ = 77

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 77 or x - 3 = 77

x - 3 = - 77 or x - 3 = 77

x = - 74 or x = 80

∣ 2 u - 6 ∣ = 0

z^{2} = - ∣ z ∣

∣ x - 142 ∣ = 4

- 4 ∣ 2 x + 6 ∣ = - 32

5 ∣ 7 - 7 g ∣ = - 20

What is the answer to 1/7 |x-3|-2=9 ?
The answer to 1/7 |x-3|-2=9 is x=-74\lor x=80
Solve for x: 1/7 |x-3|-2=9
The solution is x=-74\lor x=80