What is the answer to (|x|)/2+3=5 ?

The answer to (|x|)/2+3=5 is x=-4\lor x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(|x|)/2+3=5

\frac{∣ x ∣}{2} + 3 = 5

x = - 4 or x = 4

Solution steps

\frac{∣ x ∣}{2} + 3 = 5

Move

3

to the right side

\frac{∣ x ∣}{2} = 2

Multiply both sides by

2

∣ x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 4 or x = 4

2 ∣ x + 3 ∣ = 9

2 ∣ x + 3 ∣ = 8

∣ v + 345 ∣ = 15

5 a^{2} - 11 ∣ a ∣ + 2 = 0

∣ 6 x - 9 ∣ = 0