What is the answer to |3x|+3=27 ?

The answer to |3x|+3=27 is x=-8\lor x=8

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|3x|+3=27

∣ 3 x ∣ + 3 = 27

x = - 8 or x = 8

Solution steps

∣ 3 x ∣ + 3 = 27

Move

3

to the right side

∣ 3 x ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 24 or 3 x = 24

3 x = - 24 or 3 x = 24

x = - 8 or x = 8

5 = \frac{k}{2}

- 21 < a - 16

- \frac{1}{3} (4 + z) = - \frac{5}{6}

x^{2} = 19

- 3 < x \leq 2