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

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

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-|5-x|-3=-10

- ∣ 5 - x ∣ - 3 = - 10

x = - 2 or x = 12

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 = - 2 or x = 12

∣ 4 x - 1 ∣ = 1

4 ∣ v - 2 ∣ - 3 = 25

- 2 ∣ 4 + 2 x ∣ + 5 = - 5

7 ∣ 2 c - 6 ∣ + 4 = 32

45 = ∣ b - 12 ∣

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