What is the answer to |x-5|+7=17 ?

The answer to |x-5|+7=17 is x=-5\lor x=15

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|x-5|+7=17

∣ x - 5 ∣ + 7 = 17

x = - 5 or x = 15

Solution steps

∣ x - 5 ∣ + 7 = 17

Move

7

to the right side

∣ x - 5 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 10 or x - 5 = 10

x - 5 = - 10 or x - 5 = 10

x = - 5 or x = 15

z^{2} = ∣ z ∣^{2}

x^{2} - ∣ a - 1 ∣ x + 1 = ∣ x ∣

∣ x - 2016 ∣^{2017} + ∣ x - 2016 ∣^{2017} = 1

x^{2} - 7 x + 12 x = 1

∣ 2 x - 5 ∣ + ∣ 3 - 7 x ∣ = 16