What is the answer to |2x-9|=18 ?

The answer to |2x-9|=18 is x=-9/2 \lor x= 27/2

Solve for x: |2x-9|=18

The solution is x=-9/2 \lor x= 27/2

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∣ 2 x - 9 ∣ = 18

x = - \frac{9}{2} or x = \frac{27}{2}

Decimal Notation

x = - 4.5, x = 13.5

Solution steps

∣ 2 x - 9 ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 9 = - 18 or 2 x - 9 = 18

2 x - 9 = - 18 or 2 x - 9 = 18

x = - \frac{9}{2} or x = \frac{27}{2}

∣ x ∣ + 2 = 4

∣ 2 x + 5 ∣ - 3 = 7

∣ 2 x + 1 ∣ = \frac{3}{4}

∣ x - 2 ∣ = 21

3 x - 2 = ∣ x - 2 ∣

What is the answer to |2x-9|=18 ?
The answer to |2x-9|=18 is x=-9/2 \lor x= 27/2
Solve for x: |2x-9|=18
The solution is x=-9/2 \lor x= 27/2