What is the answer to |x-4|=8 ?

The answer to |x-4|=8 is x=-4\lor x=12

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|x-4|=8

∣ x - 4 ∣ = 8

x = - 4 or x = 12

Solution steps

∣ x - 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 8 or x - 4 = 8

x - 4 = - 8 or x - 4 = 8

x = - 4 or x = 12

4 = - 6 x - \frac{1}{2}

n^{2} - 5 n - 36

(125)^{\frac{1}{3}}

(3 x^{3}) (3 x^{4}) (- 3 x^{2})

\frac{x}{2} + \frac{x}{7} = - 1