What is the answer to 35=|x-6| ?

The answer to 35=|x-6| is x=-29\lor x=41

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35=|x-6|

35 = ∣ x - 6 ∣

x = - 29 or x = 41

Solution steps

35 = ∣ x - 6 ∣

Switch sides

∣ x - 6 ∣ = 35

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 35 or x - 6 = 35

x - 6 = - 35 or x - 6 = 35

x = - 29 or x = 41

\frac{∣ - x - 6 ∣}{2} = 3

∣ 4 x + 4 ∣ + 6 = 46

- 4 + ∣ x - 1 ∣ = 3

∣ y + 3 ∣ = 2

∣ x + 2 ∣ + 3 = 1