What is the answer to | x/5-2|=3 ?

The answer to | x/5-2|=3 is x=-5\lor x=25

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| x/5-2|=3

\frac{x}{5} - 2 = 3

x = - 5 or x = 25

Solution steps

\frac{x}{5} - 2 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{5} - 2 = - 3 or \frac{x}{5} - 2 = 3

\frac{x}{5} - 2 = - 3 or \frac{x}{5} - 2 = 3

x = - 5 or x = 25

∣ q + 3 ∣ \leq 6

12 x^{3} + 20 x^{2} - 32 x + 8

1 - 1

x^{2} = 20 + 8 x

4000