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

The answer to 2|2x-5|+9=9 is x= 5/2

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2|2x-5|+9=9

2 ∣ 2 x - 5 ∣ + 9 = 9

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

2 ∣ 2 x - 5 ∣ + 9 = 9

Subtract

9

from both sides

2 ∣ 2 x - 5 ∣ + 9 - 9 = 9 - 9

Simplify

2 ∣ 2 x - 5 ∣ = 0

Divide both sides by

2

∣ 2 x - 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x - 5 = 0

2 x - 5 = 0 : x = \frac{5}{2}

x = \frac{5}{2}

- 4 ∣ d + 5 ∣ = - 60

∣ 2 x - 3 x ∣ = 5

- 16 = - ∣ c ∣

∣ 6 x + 12 ∣ = 18

∣ - 2 k + 2 ∣ - 5 = - 5