What is the answer to (|5x|)/2 =10 ?

The answer to (|5x|)/2 =10 is x=-4\lor x=4

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(|5x|)/2 =10

\frac{∣ 5 x ∣}{2} = 10

x = - 4 or x = 4

Solution steps

\frac{∣ 5 x ∣}{2} = 10

Multiply both sides by

2

∣ 5 x ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x = - 20 or 5 x = 20

5 x = - 20 or 5 x = 20

x = - 4 or x = 4

1 = ∣ d - 2 ∣

17 = 4 - ∣ z + 5 ∣

3 - ∣ 2 - 4 x ∣ = 5

5 ∣ 2 x - 4 ∣ - 1 = 18

2 ∣ x - 5 ∣ + 7 = 14