What is the answer to -5|x-7|+2=-13 ?

The answer to -5|x-7|+2=-13 is x=4\lor x=10

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-5|x-7|+2=-13

- 5 ∣ x - 7 ∣ + 2 = - 13

x = 4 or x = 10

Solution steps

- 5 ∣ x - 7 ∣ + 2 = - 13

Move

2

to the right side

- 5 ∣ x - 7 ∣ = - 15

Divide both sides by

- 5

∣ x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 3 or x - 7 = 3

x - 7 = - 3 or x - 7 = 3

x = 4 or x = 10

∣ x - 2 ∣ = 4 x + 8

5 + 2 ∣ 2 x + 4 ∣ = 9

∣ - 2 y + 6 ∣ = 6

∣ 3 x + 1 ∣ + 5 = x

37 = ∣ y + 22 ∣

What is the answer to -5|x-7|+2=-13 ?
The answer to -5|x-7|+2=-13 is x=4\lor x=10
Solve for x: -5|x-7|+2=-13
The solution is x=4\lor x=10