What is the answer to 5|-9-2x|-2=13 ?

The answer to 5|-9-2x|-2=13 is x=-6\lor x=-3

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5|-9-2x|-2=13

5 ∣ - 9 - 2 x ∣ - 2 = 13

x = - 6 or x = - 3

Solution steps

5 ∣ - 9 - 2 x ∣ - 2 = 13

Move

2

to the right side

5 ∣ - 9 - 2 x ∣ = 15

Divide both sides by

5

∣ - 9 - 2 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 9 - 2 x = - 3 or - 9 - 2 x = 3

- 9 - 2 x = - 3 or - 9 - 2 x = 3

x = - 6 or x = - 3

∣ 4 x - 2 ∣ = 0

5 ∣ x - 4 ∣ = 4

∣ 5 x - 1 ∣ + 7 = 3 x

∣ 3 x + 4 ∣ = - 9

∣ 3 x + 7 ∣ - 10 = 30

What is the answer to 5|-9-2x|-2=13 ?
The answer to 5|-9-2x|-2=13 is x=-6\lor x=-3
Solve for x: 5|-9-2x|-2=13
The solution is x=-6\lor x=-3