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

The answer to |x+1|+2=|x+4| 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+1|+2=|x+4|

∣ x + 1 ∣ + 2 = ∣ x + 4 ∣

x = - \frac{3}{2}

Decimal

x = - 1.5

Solution steps

∣ x + 1 ∣ + 2 = ∣ x + 4 ∣

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}

2 x - x^{2} + 3 = - x - 1

2 ∣ x + 4 ∣ = 8 x - 2

\frac{1}{2} ∣ x - 5 ∣ + 3 = x + 4

∣ 8 x - 4 ∣ + 64 = 6

∣ 8 - 2 x ∣ = x ∣ x - 4 ∣