What is the answer to 3+|3x-3|=15 ?

The answer to 3+|3x-3|=15 is x=-3\lor x=5

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3+|3x-3|=15

3 + ∣ 3 x - 3 ∣ = 15

x = - 3 or x = 5

Solution steps

3 + ∣ 3 x - 3 ∣ = 15

Move

3

to the right side

∣ 3 x - 3 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 3 = - 12 or 3 x - 3 = 12

3 x - 3 = - 12 or 3 x - 3 = 12

x = - 3 or x = 5

x^{2} - 6 x = 24

lo g_{5} (- 3 x) < 1

- 1 > 5 x - 16

\frac{1}{2} x = 6

\frac{( - 6 + 8 )}{- 2}