What is the answer to 4|x-7|-2=10 ?

The answer to 4|x-7|-2=10 is x=4\lor x=10

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4|x-7|-2=10

4 ∣ x - 7 ∣ - 2 = 10

x = 4 or x = 10

Solution steps

4 ∣ x - 7 ∣ - 2 = 10

Move

2

to the right side

4 ∣ x - 7 ∣ = 12

Divide both sides by

4

∣ x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 3 or x - 7 = 3

x - 7 = - 3 or x - 7 = 3

x = 4 or x = 10

∣ 2 n ∣ + 9 = 11

- ∣ 2 x + 5 ∣ + 4 = - 13

∣ 9 - 2 x ∣ = 10

∣ x + 10 ∣ = 3

- 9 (x^{2} - 1) = 9