What is the answer to (6|x-2|)/4 =3x ?

The answer to (6|x-2|)/4 =3x is x= 2/3

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(6|x-2|)/4 =3x

\frac{6 ∣ x - 2 ∣}{4} = 3 x

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

\frac{6 ∣ x - 2 ∣}{4} = 3 x

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = \frac{2}{3} or No Solution

x = \frac{2}{3}

∣ w ∣ + 13 = 6

3 ∣ 2 x - 5 ∣ = - 9 x

∣ 1.51 x + 3.28 ∣ = 2.15

∣ 3 - 2 x ∣ = 4

∣ x - 10 ∣ = 17