What is the answer to |x-7|+4=20 ?

The answer to |x-7|+4=20 is x=-9\lor x=23

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|x-7|+4=20

∣ x - 7 ∣ + 4 = 20

x = - 9 or x = 23

Solution steps

∣ x - 7 ∣ + 4 = 20

Move

4

to the right side

∣ x - 7 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 16 or x - 7 = 16

x - 7 = - 16 or x - 7 = 16

x = - 9 or x = 23

∣ x - 4 ∣ \cdot x^{2} - 2 x = 6 - 3 x

2 x^{2} - 6 x + 8 = 3 x - 9

\frac{x - 1}{4} = 6

3 ∣ 3 x + 12 ∣ = 12 x

6 ∣ 9 x + 4 ∣ + 2 = 8