What is the answer to -4|-10+x|-7=-103 ?

The answer to -4|-10+x|-7=-103 is x=-14\lor x=34

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-4|-10+x|-7=-103

- 4 ∣ - 10 + x ∣ - 7 = - 103

x = - 14 or x = 34

Solution steps

- 4 ∣ - 10 + x ∣ - 7 = - 103

Move

7

to the right side

- 4 ∣ - 10 + x ∣ = - 96

Divide both sides by

- 4

∣ - 10 + x ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 10 + x = - 24 or - 10 + x = 24

- 10 + x = - 24 or - 10 + x = 24

x = - 14 or x = 34

∣ 3 x - 4 ∣ - 2 = 14

∣ y + 7 ∣ - 2 = - 5

- 3 ∣ 4 x - 7 ∣ + 15 = 0

8 - 4 ∣ 8 - 5 x ∣ = - 8

24 = ∣ 6 a ∣

What is the answer to -4|-10+x|-7=-103 ?
The answer to -4|-10+x|-7=-103 is x=-14\lor x=34
Solve for x: -4|-10+x|-7=-103
The solution is x=-14\lor x=34