What is the answer to |6x-5|=4x ?

The answer to |6x-5|=4x is x= 1/2 \lor x= 5/2

Solve for x: |6x-5|=4x

The solution is x= 1/2 \lor x= 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ 6 x - 5 ∣ = 4 x

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

Decimal Notation

x = 0.5, x = 2.5

Solution steps

∣ 6 x - 5 ∣ = 4 x

Find positive and negative intervals

x < \frac{5}{6}, x \geq \frac{5}{6}

Solve the inequality for each interval

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

∣ x - 8 ∣ - 4 = - 1

∣ x - 5 ∣ = 15

∣ x - 5 ∣ = - 3

∣ 5 x - 7 ∣ = 11 - x

4 + \frac{x}{6} = 5