What is the answer to -|-5-x|-3=-10 ?

The answer to -|-5-x|-3=-10 is x=-12\lor x=2

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-|-5-x|-3=-10

- ∣ - 5 - x ∣ - 3 = - 10

x = - 12 or x = 2

Solution steps

- ∣ - 5 - x ∣ - 3 = - 10

Move

3

to the right side

- ∣ - 5 - x ∣ = - 7

Divide both sides by

- 1

∣ - 5 - x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 12 or x = 2

58 = ∣ c - 30 ∣ + 8

∣ h ∣ = 3, y = 2

∣ - 4 k ∣ = - 88

∣ 3 x + 5 ∣ = 10

∣ z + 3 ∣ + 1 = 6

What is the answer to -|-5-x|-3=-10 ?
The answer to -|-5-x|-3=-10 is x=-12\lor x=2
Solve for x: -|-5-x|-3=-10
The solution is x=-12\lor x=2