What is the answer to 6+2|1-2x|=12 ?

The answer to 6+2|1-2x|=12 is x=-1\lor x=2

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6+2|1-2x|=12

6 + 2 ∣ 1 - 2 x ∣ = 12

x = - 1 or x = 2

Solution steps

6 + 2 ∣ 1 - 2 x ∣ = 12

Move

6

to the right side

2 ∣ 1 - 2 x ∣ = 6

Divide both sides by

2

∣ 1 - 2 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 2 x = - 3 or 1 - 2 x = 3

1 - 2 x = - 3 or 1 - 2 x = 3

x = - 1 or x = 2

- 3 ∣ 2 + 2 x ∣ - 3 = - 36

∣ 2 x + 7 ∣ + 1 = x

3 ∣ z + 7 ∣ = 12

9 ∣ 4 x + 2 ∣ + 8 = 35

∣ 4 x - 8 ∣ + 1 = 5 x