What is the answer to |2x-1|=4+x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x-1|=4+x

∣ 2 x - 1 ∣ = 4 + x

x = - 1 or x = 5

Solution steps

∣ 2 x - 1 ∣ = 4 + x

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x = - 1 or x = 5

x^{2} + 6 x - 1 = - 6

∣ 6 x + 7 ∣ + 2 = 3

∣ 3 x + 3 ∣ = 2

- ∣ x ∣ + 1 = 0

∣ 1 - x ∣ = 5 x