What is the answer to 5+|2x-6|=9 ?

The answer to 5+|2x-6|=9 is x=1\lor x=5

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5+|2x-6|=9

5 + ∣ 2 x - 6 ∣ = 9

x = 1 or x = 5

Solution steps

5 + ∣ 2 x - 6 ∣ = 9

Move

5

to the right side

∣ 2 x - 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 6 = - 4 or 2 x - 6 = 4

2 x - 6 = - 4 or 2 x - 6 = 4

x = 1 or x = 5

15 = ∣ - 4 b + 12 ∣

8 - 8 ∣ - 5 b + 4 ∣ = - 120

∣ 10 + 2 n ∣ = 28

x^{2} - 2 = x + 4

19 = ∣ - 3 x + 13 ∣