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

The answer to 2|5x|=10 is x=-1\lor x=1

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2|5x|=10

2 ∣ 5 x ∣ = 10

x = - 1 or x = 1

Solution steps

2 ∣ 5 x ∣ = 10

Divide both sides by

2

∣ 5 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x = - 5 or 5 x = 5

5 x = - 5 or 5 x = 5

x = - 1 or x = 1

\frac{x}{2} - 1 - 3 = 0

∣ 3 x + 2 ∣ = 4 - 2 x

x^{2} - 3 = 1

- 5 - ∣ - 3 - 4 x ∣ = 11

∣ m + 3 ∣ = 12 - 2 m