What is the answer to | x/5 |+4=5 ?

The answer to | x/5 |+4=5 is x=-5\lor x=5

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| x/5 |+4=5

\frac{x}{5} + 4 = 5

x = - 5 or x = 5

Solution steps

\frac{x}{5} + 4 = 5

Move

4

to the right side

\frac{x}{5} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{5} = - 1 or \frac{x}{5} = 1

\frac{x}{5} = - 1 or \frac{x}{5} = 1

x = - 5 or x = 5

∣ 8 x + 9 ∣ + 7 = 6

17 = ∣ - 7 + 4 y ∣

5 = 5 ∣ c + 5 ∣

∣ - h ∣ = 7

- 4 = ∣ v + 4 ∣ - 7