What is the answer to |4x-4|-5=7 ?

The answer to |4x-4|-5=7 is x=-2\lor x=4

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|4x-4|-5=7

∣ 4 x - 4 ∣ - 5 = 7

x = - 2 or x = 4

Solution steps

∣ 4 x - 4 ∣ - 5 = 7

Move

5

to the right side

∣ 4 x - 4 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 4 = - 12 or 4 x - 4 = 12

4 x - 4 = - 12 or 4 x - 4 = 12

x = - 2 or x = 4

2 ∣ 3 x + 1 ∣ - 4 = 6

- 4 ∣ x - 10 ∣ + 5 = 5

∣ 3 x - 4 ∣ - 5 = 3

4 = ∣ m - 3 ∣

x^{2} - 2 = 14