What is the answer to |2x+5|+9=18 ?

The answer to |2x+5|+9=18 is x=-7\lor x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x+5|+9=18

∣ 2 x + 5 ∣ + 9 = 18

x = - 7 or x = 2

Solution steps

∣ 2 x + 5 ∣ + 9 = 18

Move

9

to the right side

∣ 2 x + 5 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 9 or 2 x + 5 = 9

2 x + 5 = - 9 or 2 x + 5 = 9

x = - 7 or x = 2

∣ x ∣ = \frac{1}{15}

2 x^{2} - 3 = 2 x

∣ x ∣ - 1 = 7

∣ 1 - 3 x ∣ = x + 5

∣ 3 x - 5 ∣ = x^{2} - x - 2