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

The answer to -|3-2x|=-9 is x=-3\lor x=6

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-|3-2x|=-9

- ∣ 3 - 2 x ∣ = - 9

x = - 3 or x = 6

Solution steps

- ∣ 3 - 2 x ∣ = - 9

Divide both sides by

- 1

∣ 3 - 2 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 2 x = - 9 or 3 - 2 x = 9

3 - 2 x = - 9 or 3 - 2 x = 9

x = - 3 or x = 6

2 ∣ x - 3 ∣ + 1 = 15

∣ 3 + 7 x ∣ = 73

\frac{1}{2} x + 1 + 4 = 9

6 ∣ x ∣ - 9 = 15

x \cdot ∣ x - 3 ∣ - 2 = 0