What is the answer to 5-3|1-2x|=2 ?

The answer to 5-3|1-2x|=2 is x=0\lor x=1

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5-3|1-2x|=2

5 - 3 ∣ 1 - 2 x ∣ = 2

x = 0 or x = 1

Solution steps

5 - 3 ∣ 1 - 2 x ∣ = 2

Move

5

to the right side

- 3 ∣ 1 - 2 x ∣ = - 3

Divide both sides by

- 3

∣ 1 - 2 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 2 x = - 1 or 1 - 2 x = 1

1 - 2 x = - 1 or 1 - 2 x = 1

x = 0 or x = 1

13 = ∣ 2 x - 5 ∣

∣ k + 7 ∣ = 7

∣ 12 - 4 x ∣ = 2

\frac{3}{5} z - 3 - 8 = 4

∣ x - 2.5 ∣ = 6