What is the answer to |x-4|+6=17 ?

The answer to |x-4|+6=17 is x=-7\lor x=15

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|x-4|+6=17

∣ x - 4 ∣ + 6 = 17

x = - 7 or x = 15

Solution steps

∣ x - 4 ∣ + 6 = 17

Move

6

to the right side

∣ x - 4 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 11 or x - 4 = 11

x - 4 = - 11 or x - 4 = 11

x = - 7 or x = 15

5 ∣ x + 9 ∣ = 80

3 x + \frac{1}{2} = 6

∣ p + 2 ∣ = 10

∣ x ∣ = - x^{3}

∣ z ∣ + (z) = 0