What is the answer to |7-x|+2=12 ?

The answer to |7-x|+2=12 is x=-3\lor x=17

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|7-x|+2=12

∣ 7 - x ∣ + 2 = 12

x = - 3 or x = 17

Solution steps

∣ 7 - x ∣ + 2 = 12

Move

2

to the right side

∣ 7 - x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - x = - 10 or 7 - x = 10

7 - x = - 10 or 7 - x = 10

x = - 3 or x = 17

∣ 8 - 7 y ∣ + 9 = 1

7 = ∣ n - 2 ∣

∣ 3 x + 7 ∣ = ∣ 2 x ∣

x^{2} - 2 x - 4 = 0

∣ z ∣ = ∣ z - 2 ∣