What is the answer to 4|x-5|=20 ?

The answer to 4|x-5|=20 is x=0\lor x=10

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4|x-5|=20

4 ∣ x - 5 ∣ = 20

x = 0 or x = 10

Solution steps

4 ∣ x - 5 ∣ = 20

Divide both sides by

4

∣ x - 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 5 or x - 5 = 5

x - 5 = - 5 or x - 5 = 5

x = 0 or x = 10

0.5 x^{2} - x = 0

\frac{10 !}{3 ! ( 7 ! )}

x^{2} - 7 x - 44

\frac{1}{5} m = \frac{1}{60} m + 1

x - 3 = 3 + x