What is the answer to -3|x-7|+2=-13 ?

The answer to -3|x-7|+2=-13 is x=2\lor x=12

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-3|x-7|+2=-13

- 3 ∣ x - 7 ∣ + 2 = - 13

x = 2 or x = 12

Solution steps

- 3 ∣ x - 7 ∣ + 2 = - 13

Move

2

to the right side

- 3 ∣ x - 7 ∣ = - 15

Divide both sides by

- 3

∣ x - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 5 or x - 7 = 5

x - 7 = - 5 or x - 7 = 5

x = 2 or x = 12

∣ w - 7 ∣ = 0

∣ w + 4 ∣ = 5

2 ∣ 3 x ∣ + 3 = 19

∣ x ∣ + 1 = 2 x - 5

∣ 2 x + 10 ∣ + 8 = 14

What is the answer to -3|x-7|+2=-13 ?
The answer to -3|x-7|+2=-13 is x=2\lor x=12
Solve for x: -3|x-7|+2=-13
The solution is x=2\lor x=12