What is the answer to 5|x-4|=90 ?

The answer to 5|x-4|=90 is x=-14\lor x=22

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5|x-4|=90

5 ∣ x - 4 ∣ = 90

x = - 14 or x = 22

Solution steps

5 ∣ x - 4 ∣ = 90

Divide both sides by

5

∣ x - 4 ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 18 or x - 4 = 18

x - 4 = - 18 or x - 4 = 18

x = - 14 or x = 22

3 = ∣ x + 1 ∣ - ∣ x - 2 ∣

\frac{1}{3} ∣ 5 J + 2 ∣ + 11 = 2

∣ x - 1 ∣ = x^{2} - 1

∣ 6 n - 9 ∣ = 3

\frac{x}{2} - 5 = 9