What is the answer to |x-2|=8 ?

The answer to |x-2|=8 is x=-6\lor x=10

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|x-2|=8

∣ x - 2 ∣ = 8

x = - 6 or x = 10

Solution steps

∣ x - 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 8 or x - 2 = 8

x - 2 = - 8 or x - 2 = 8

x = - 6 or x = 10

3 x + 7 = x + 11

(\frac{( - 2 x ) ^{2}}{3 x y ^{2}})^{3}

(\frac{- 3}{5})^{- 3}

\frac{p}{- 5} = 10

(2 x + 5) (x - 1) - 12 = 0