What is the answer to |8-4x|-5=11 ?

The answer to |8-4x|-5=11 is x=-2\lor x=6

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|8-4x|-5=11

∣ 8 - 4 x ∣ - 5 = 11

x = - 2 or x = 6

Solution steps

∣ 8 - 4 x ∣ - 5 = 11

Move

5

to the right side

∣ 8 - 4 x ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 4 x = - 16 or 8 - 4 x = 16

8 - 4 x = - 16 or 8 - 4 x = 16

x = - 2 or x = 6

∣ - 3 x + 4 ∣ = 7

x^{2} - 8 x + 1 = - 2 ∣ 4 - x ∣

3 - 2 ∣ 3 x - 4 ∣ = 8 x - 3

∣ x - 1 ∣ - 6 = 5

\frac{∣ 9 - x ∣}{20} = 0.1915