What is the answer to |x+9|-7=10 ?

The answer to |x+9|-7=10 is x=-26\lor x=8

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|x+9|-7=10

∣ x + 9 ∣ - 7 = 10

x = - 26 or x = 8

Solution steps

∣ x + 9 ∣ - 7 = 10

Move

7

to the right side

∣ x + 9 ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - 17 or x + 9 = 17

x + 9 = - 17 or x + 9 = 17

x = - 26 or x = 8

∣ x - 2 ∣ = x^{2} + 2 x + 4

\frac{3}{2} ∣ x ∣ = 15 x

2 - x = ∣ 3 x - 1 ∣

0.75 = ∣ x - 145 ∣

5 x - ∣ x - 3 ∣ x = - 5