What is the answer to -7|9-2x|+9=-12 ?

The answer to -7|9-2x|+9=-12 is x=3\lor x=6

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-7|9-2x|+9=-12

- 7 ∣ 9 - 2 x ∣ + 9 = - 12

x = 3 or x = 6

Solution steps

- 7 ∣ 9 - 2 x ∣ + 9 = - 12

Move

9

to the right side

- 7 ∣ 9 - 2 x ∣ = - 21

Divide both sides by

- 7

∣ 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 = 3 or x = 6

∣ 2 x ∣ - 3 = - 5

2 - 2 ∣ 5 x - 2 ∣ = - 18

∣ 5 p + 3 ∣ - 4 = 2 p

∣ 4 x + 2 ∣ = 18

∣ - 6 x ∣ = 24

What is the answer to -7|9-2x|+9=-12 ?
The answer to -7|9-2x|+9=-12 is x=3\lor x=6
Solve for x: -7|9-2x|+9=-12
The solution is x=3\lor x=6