What is the answer to |x-2|+|2x+3|=6x ?

The answer to |x-2|+|2x+3|=6x is x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-2|+|2x+3|=6x

∣ x - 2 ∣ + ∣ 2 x + 3 ∣ = 6 x

x = 1

Solution steps

∣ x - 2 ∣ + ∣ 2 x + 3 ∣ = 6 x

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 1

x = 1

10 a^{2} + 20 a + 10 = 0

(6 + 2 - 12) (6 - 2) + 72

\frac{2 x - 2}{x + 1} \leq 1

2 x - 1 = 6

y^{- \frac{11}{10}}