What is the answer to 9-|3x+6|=6 ?

The answer to 9-|3x+6|=6 is x=-3\lor x=-1

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9-|3x+6|=6

9 - ∣ 3 x + 6 ∣ = 6

x = - 3 or x = - 1

Solution steps

9 - ∣ 3 x + 6 ∣ = 6

Move

9

to the right side

- ∣ 3 x + 6 ∣ = - 3

Divide both sides by

- 1

∣ 3 x + 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 3 or x = - 1

3 (3 - 2 x) = x + 5

S^{2} - 9 S + 6 = 0

\frac{x}{2} + 3 = \frac{5 x}{3} - 4 x

∣ 3 + 2 x ∣ = 7

\frac{x ^{2} - x}{6} - \frac{x ^{2} + x}{3} = 0