What is the answer to 2|x-7|=10 ?

The answer to 2|x-7|=10 is x=2\lor x=12

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2|x-7|=10

2 ∣ x - 7 ∣ = 10

x = 2 or x = 12

Solution steps

2 ∣ x - 7 ∣ = 10

Divide both sides by

2

∣ x - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 5 or x - 7 = 5

x - 7 = - 5 or x - 7 = 5

x = 2 or x = 12

0 = 3 x^{2} - 3 x

x^{2} \leq 1

- \frac{h}{3} - 4 = 13

9 x^{2} + 30 x + 25

(\frac{5}{4})^{4}