What is the answer to 2|5x|=50 ?

The answer to 2|5x|=50 is x=-5\lor x=5

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2|5x|=50

2 ∣ 5 x ∣ = 50

x = - 5 or x = 5

Solution steps

2 ∣ 5 x ∣ = 50

Divide both sides by

2

∣ 5 x ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x = - 25 or 5 x = 25

5 x = - 25 or 5 x = 25

x = - 5 or x = 5

∣ x + 3 ∣ = 3 + 2 x

∣ x - 7 ∣ = ∣ 3 x - 1 ∣

4 ∣ y - 5 ∣ - 8 = 0

∣ x + 1 ∣ + ∣ x - 2 ∣ = 9

\frac{x}{2} - 4 = 4