What is the answer to 10-3|3+6x|=1 ?

The answer to 10-3|3+6x|=1 is x=-1\lor x=0

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10-3|3+6x|=1

10 - 3 ∣ 3 + 6 x ∣ = 1

x = - 1 or x = 0

Solution steps

10 - 3 ∣ 3 + 6 x ∣ = 1

Move

10

to the right side

- 3 ∣ 3 + 6 x ∣ = - 9

Divide both sides by

- 3

∣ 3 + 6 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 6 x = - 3 or 3 + 6 x = 3

3 + 6 x = - 3 or 3 + 6 x = 3

x = - 1 or x = 0

∣ 5 y - 7 ∣ + 2 = 4

- 8 ∣ 10 k ∣ = - 480

∣ - 9 x ∣ = 54

- (x + 3)^{2} = ∣ x ∣ - 9

3 ∣ 4 - 3 x ∣ + 7 = 25