What is the answer to 7-|3x+6|=4 ?

The answer to 7-|3x+6|=4 is x=-3\lor x=-1

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7-|3x+6|=4

7 - ∣ 3 x + 6 ∣ = 4

x = - 3 or x = - 1

Solution steps

7 - ∣ 3 x + 6 ∣ = 4

Move

7

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

- x^{2} + 4 x - 4

14 m^{2} - 4 m

8 (36 x + 57) < - 8 (1 - 7 x)

\frac{x - 3}{2} > 1

2 b^{2} + 14 b - 16