What is the answer to 10+6|-x+6|=10 ?

The answer to 10+6|-x+6|=10 is x=6

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10+6|-x+6|=10

10 + 6 ∣ - x + 6 ∣ = 10

x = 6

Solution steps

10 + 6 ∣ - x + 6 ∣ = 10

Subtract

10

from both sides

10 + 6 ∣ - x + 6 ∣ - 10 = 10 - 10

Simplify

6 ∣ - x + 6 ∣ = 0

Divide both sides by

6

∣ - x + 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

- x + 6 = 0

- x + 6 = 0 : x = 6

x = 6

∣ 5 - x ∣ = 13 - x

∣ d + 3 ∣ = 0

∣ 3 x - 9 ∣ + 5 = 5

- ∣ 2 (x + 5) (x - 5) ∣ - 3 = 53

- 9 = - 8 ∣ - s - 1000 ∣ - 9