What is the answer to |8x|-5=75 ?

The answer to |8x|-5=75 is x=-10\lor x=10

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|8x|-5=75

∣ 8 x ∣ - 5 = 75

x = - 10 or x = 10

Solution steps

∣ 8 x ∣ - 5 = 75

Move

5

to the right side

∣ 8 x ∣ = 80

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x = - 80 or 8 x = 80

8 x = - 80 or 8 x = 80

x = - 10 or x = 10

(2 + ∣ x - 2 ∣) = 1

- x + ∣ 2 x - 7 ∣ = 4

x^{3} - 3 x - 2 = 0.2

2 ∣ 3 x - 6 ∣ = 18

∣ t + 9 ∣ = 1