What is the answer to 8+|2x|=12 ?

The answer to 8+|2x|=12 is x=-2\lor x=2

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8+|2x|=12

8 + ∣ 2 x ∣ = 12

x = - 2 or x = 2

Solution steps

8 + ∣ 2 x ∣ = 12

Move

8

to the right side

∣ 2 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 4 or 2 x = 4

2 x = - 4 or 2 x = 4

x = - 2 or x = 2

- 5 ∣ 9 + 2 x ∣ = 0

2 = ∣ t + 8 ∣

- ∣ x + 3 ∣ = 4

x^{5} = - ∣ 6 ∣

∣ x ∣ = 1, 0 \leq y \leq 2