What is the answer to 9-4|2x-3|=9 ?

The answer to 9-4|2x-3|=9 is x= 3/2

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9-4|2x-3|=9

9 - 4 ∣ 2 x - 3 ∣ = 9

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

9 - 4 ∣ 2 x - 3 ∣ = 9

Subtract

9

from both sides

9 - 4 ∣ 2 x - 3 ∣ - 9 = 9 - 9

Simplify

- 4 ∣ 2 x - 3 ∣ = 0

Divide both sides by

- 4

∣ 2 x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x - 3 = 0

2 x - 3 = 0 : x = \frac{3}{2}

x = \frac{3}{2}

x, ∣ x + 7 ∣ = 1 o

- 15 = - 3 ∣ 8 n ∣

5 - ∣ 2 x + 3 ∣ = - 4

- 19 = ∣ - k ∣

7 ∣ 3 - 9 x ∣ = 28