What is the answer to | x/2-5|=9 ?

The answer to | x/2-5|=9 is x=-8\lor x=28

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| x/2-5|=9

\frac{x}{2} - 5 = 9

x = - 8 or x = 28

Solution steps

\frac{x}{2} - 5 = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{2} - 5 = - 9 or \frac{x}{2} - 5 = 9

\frac{x}{2} - 5 = - 9 or \frac{x}{2} - 5 = 9

x = - 8 or x = 28

∣ - 3 x - 6 ∣ = 15

∣ x + 1 ∣ + ∣ x - 1 ∣ = 2 x

∣ 4 y - 8 ∣ + 12 = 12

2 ∣ 7 - 4 x ∣ = 12

- 10 = - ∣ - v - 2 ∣ + 5