What is the answer to -51=3-|6-12x| ?

The answer to -51=3-|6-12x| is x=-4\lor x=5

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-51=3-|6-12x|

- 51 = 3 - ∣ 6 - 12 x ∣

x = - 4 or x = 5

Solution steps

- 51 = 3 - ∣ 6 - 12 x ∣

Move

∣ 6 - 12 x ∣

to the left side

- 51 + ∣ 6 - 12 x ∣ = 3

Move

51

to the right side

∣ 6 - 12 x ∣ = 54

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 12 x = - 54 or 6 - 12 x = 54

6 - 12 x = - 54 or 6 - 12 x = 54

x = - 4 or x = 5

3 = ∣ x - 10 ∣

∣ 3 x + 6 ∣ = 18

- 3 ∣ - 11 x ∣ = - 231

∣ 3 x + 6 ∣ = 6 x

\frac{x - 4}{5} = 9

What is the answer to -51=3-|6-12x| ?
The answer to -51=3-|6-12x| is x=-4\lor x=5
Solve for x: -51=3-|6-12x|
The solution is x=-4\lor x=5