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

The answer to 9=|2x-5| is x=-2\lor x=7

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9=|2x-5|

9 = ∣ 2 x - 5 ∣

x = - 2 or x = 7

Solution steps

9 = ∣ 2 x - 5 ∣

Switch sides

∣ 2 x - 5 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 9 or 2 x - 5 = 9

2 x - 5 = - 9 or 2 x - 5 = 9

x = - 2 or x = 7

∣ U - 2 ∣ = - \frac{1}{2}

2 ∣ 3 x - 4 ∣ + 1 = 3

∣ 2 b + 9 ∣ = 5

∣ - 7 + y ∣ = 1313

∣ x + 2 ∣ + 7 = 1