What is the answer to (|x|)/7 =5 ?

The answer to (|x|)/7 =5 is x=-35\lor x=35

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(|x|)/7 =5

\frac{∣ x ∣}{7} = 5

x = - 35 or x = 35

Solution steps

\frac{∣ x ∣}{7} = 5

Multiply both sides by

7

∣ x ∣ = 35

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 35 or x = 35

x^{2} - 5 x + 6 = ∣ x - 3 ∣

∣ 2 x ∣ = 1

∣ e - 3 ∣ = 24

- 2 ∣ y - 1 ∣ = - 18

∣ x ∣ = \frac{2}{5}