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

The answer to 4-2|3-2x|=-2 is x=0\lor x=3

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4-2|3-2x|=-2

4 - 2 ∣ 3 - 2 x ∣ = - 2

x = 0 or x = 3

Solution steps

4 - 2 ∣ 3 - 2 x ∣ = - 2

Move

4

to the right side

- 2 ∣ 3 - 2 x ∣ = - 6

Divide both sides by

- 2

∣ 3 - 2 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 3

- 2 ∣ x ∣ = 14

∣ 3 x - 2 ∣ = x + 1

∣ 5 x - 1 ∣ = 1

- 2 ∣ x ∣ = - 6

∣ 3 y + 8 ∣ - 1 = 0