What is the answer to |x|+13=20 ?

The answer to |x|+13=20 is x=-7\lor x=7

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|x|+13=20

∣ x ∣ + 13 = 20

x = - 7 or x = 7

Solution steps

∣ x ∣ + 13 = 20

Move

13

to the right side

∣ x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 7 or x = 7

- 7 + \frac{a}{3} = - 5

∣ a + 4 ∣ + 4 a^{2} - 5 a = 8

∣ - 4 x - 3 ∣ = 17

4 ∣ v - 2 ∣ - 3 = - 25

∣ u + 4 ∣ = 2 ∣