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

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

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5|x|=10

5 ∣ x ∣ = 10

x = - 2 or x = 2

Solution steps

5 ∣ x ∣ = 10

Divide both sides by

5

∣ x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 2 or x = 2

∣ x + 1 ∣ = x - 2

r + r \cdot = 2 ∣ r ∣

y, x^{2} + ∣ x ∣ y + y^{2} = 1

x^{2} - 1 = 2 x - 4

∣ x - 1 ∣ - ∣ x - 2 ∣ = \frac{1}{2}