What is the answer to 3/2 |x|+7=16 ?

The answer to 3/2 |x|+7=16 is x=-6\lor x=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/2 |x|+7=16

\frac{3}{2} ∣ x ∣ + 7 = 16

x = - 6 or x = 6

Solution steps

\frac{3}{2} ∣ x ∣ + 7 = 16

Move

7

to the right side

\frac{3}{2} ∣ x ∣ = 9

Multiply both sides by

2

3 ∣ x ∣ = 18

Divide both sides by

3

∣ x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 6 or x = 6

20 + ∣ 4 x - 1 ∣ = 15

x - ∣ x - 2 ∣ = - 6

4 ∣ x + 2 ∣ = 40

∣ 5 - 3 x ∣ - 4 = 8

- ∣ x + 3 ∣ = - 21