What is the answer to |4x-2|=|x+7| ?

The answer to |4x-2|=|x+7| is x=-1\lor x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x-2|=|x+7|

∣ 4 x - 2 ∣ = ∣ x + 7 ∣

x = - 1 or x = 3

Solution steps

∣ 4 x - 2 ∣ = ∣ x + 7 ∣

Find positive and negative intervals

x < - 7, - 7 \leq x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

No Solution or x = - 1 or x = 3

x = - 1 or x = 3

\frac{x - 2}{3} - 0 (3) = \frac{1}{3}

2 ∣ x ∣ + ∣ 2 x + 3 ∣ = 7

2 ∣ x - 1 ∣ = 2 x - 7

∣ x - 3 ∣ = x^{2} - 5 x + 6

∣ x + 2 ∣ + ∣ x + 5 ∣ - ∣ x - 7 ∣ = 15