What is the answer to (|16-x|)/3 =3x ?

The answer to (|16-x|)/3 =3x is x= 8/5

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(|16-x|)/3 =3x

\frac{∣ 16 - x ∣}{3} = 3 x

x = \frac{8}{5}

Decimal Notation

x = 1.6

Solution steps

\frac{∣ 16 - x ∣}{3} = 3 x

Find positive and negative intervals

x \leq 16, x > 16

Solve the inequality for each interval

x = \frac{8}{5} or No Solution

x = \frac{8}{5}

20 = 2 ∣ 2 k ∣

∣ - 2 r ∣ = 16

∣ x + 4 ∣ + 6 = 3

5 x^{2} - 8 ∣ x ∣ + 3 = 0

∣ t - 1 ∣ = 8