What is the answer to |x+2|-7=1 ?

The answer to |x+2|-7=1 is x=-10\lor x=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+2|-7=1

∣ x + 2 ∣ - 7 = 1

x = - 10 or x = 6

Solution steps

∣ x + 2 ∣ - 7 = 1

Move

7

to the right side

∣ x + 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 8 or x + 2 = 8

x + 2 = - 8 or x + 2 = 8

x = - 10 or x = 6

x^{2} + 10 x + 16 = x^{2} - 16

∣ x + 5 ∣ + ∣ 3 - x ∣ = 15

x^{2} - 5 x + 6 + x^{2} - x - 2 = 4 ∣ 2 - x ∣

5 x^{2} + 4 x ∣ x ∣ - 100 = 0

(x - 3)^{2} + ∣ x - 3 ∣ - 11 = 0