What is the answer to |6x|=|3x-9| ?

The answer to |6x|=|3x-9| is x=-3\lor x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|6x|=|3x-9|

∣ 6 x ∣ = ∣ 3 x - 9 ∣

x = - 3 or x = 1

Solution steps

∣ 6 x ∣ = ∣ 3 x - 9 ∣

Find positive and negative intervals

x < 0, 0 \leq x < 3, x \geq 3

Solve the inequality for each interval

x = - 3 or x = 1 or No Solution

x = - 3 or x = 1

\frac{x + 2}{5} = \frac{1}{5}

∣ 2 x - 3 ∣ = 4 x - 15

11 = x + ∣ 2 x - 1 ∣

5 x - 31 = ∣ x - 3 ∣

∣ x + 2 ∣ = \frac{4}{3}