What is the answer to |x|+3=7 ?

The answer to |x|+3=7 is x=-4\lor x=4

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|x|+3=7

∣ x ∣ + 3 = 7

x = - 4 or x = 4

Solution steps

∣ x ∣ + 3 = 7

Move

3

to the right side

∣ x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 4 or x = 4

4 ∣ - 4 x - 5 ∣ - 8 = 20

x^{2} - x - 2 = 4

- 19 + 9 ∣ 4 x - 5 ∣ = 18

∣ 5 x - 2 ∣ = x

2 ∣ x - 3 ∣ + x + 9 = 0