What is the answer to 2+|2x-3|=9 ?

The answer to 2+|2x-3|=9 is x=-2\lor x=5

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2+|2x-3|=9

2 + ∣ 2 x - 3 ∣ = 9

x = - 2 or x = 5

Solution steps

2 + ∣ 2 x - 3 ∣ = 9

Move

2

to the right side

∣ 2 x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 7 or 2 x - 3 = 7

2 x - 3 = - 7 or 2 x - 3 = 7

x = - 2 or x = 5

∣ 2 v - 4 ∣ = 10

∣ x + 7 ∣ = - 12

∣ x - 2 ∣ = ∣ x ∣

\frac{∣ 4 x + 5 ∣ + 8}{5} = 3

∣ 2 m - 3 ∣ - 1 = 10