What is the answer to |x+2|-5=7 ?

The answer to |x+2|-5=7 is x=-14\lor x=10

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|x+2|-5=7

∣ x + 2 ∣ - 5 = 7

x = - 14 or x = 10

Solution steps

∣ x + 2 ∣ - 5 = 7

Move

5

to the right side

∣ x + 2 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 12 or x + 2 = 12

x + 2 = - 12 or x + 2 = 12

x = - 14 or x = 10

3 x^{2} - x + 8 = 0

4 = x 2

\frac{12 3}{8}

12 x^{3} - 23 x^{2} - 3 x + 2 = 0

∣ x + 2 ∣ > 5