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

The answer to |x+4|=|x-1| is x=-3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+4|=|x-1|

∣ x + 4 ∣ = ∣ x - 1 ∣

x = - \frac{3}{2}

Solution steps

∣ x + 4 ∣ = ∣ x - 1 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = - \frac{3}{2}

x = - \frac{3}{2}

4 x + 12 = x + 20

x^{2} + (x + 7)^{2} = (x + 8)^{2}

\frac{- 9 r ^{2} s ^{6} t ^{4}}{54 r ^{5} s ^{2} t ^{8}}

5 = 10 n

\frac{( z - 1 )}{3} - \frac{( z + 3 )}{2} = 5 z