What is the answer to |x-9|+10=20 ?

The answer to |x-9|+10=20 is x=-1\lor x=19

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|x-9|+10=20

∣ x - 9 ∣ + 10 = 20

x = - 1 or x = 19

Solution steps

∣ x - 9 ∣ + 10 = 20

Move

10

to the right side

∣ x - 9 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 9 = - 10 or x - 9 = 10

x - 9 = - 10 or x - 9 = 10

x = - 1 or x = 19

x^{2} - 16 x - 80

2 \cdot 32 - 24 + (5 - 2 \cdot 3)^{\frac{1}{1}}

\frac{5}{8} + \frac{3}{4} - \frac{1}{6} - \frac{2}{3}

6 x^{2} + 7 x - 3

(\frac{3 x ^{2}}{9 x ^{- 1}}) (6 x y)