What is the answer to |3x+4|=11 ?

The answer to |3x+4|=11 is x=-5\lor x= 7/3

Solve for x: |3x+4|=11

The solution is x=-5\lor x= 7/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ 3 x + 4 ∣ = 11

x = - 5 or x = \frac{7}{3}

Decimal

x = - 5, x = 2.33333 \dots

Solution steps

∣ 3 x + 4 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 11 or 3 x + 4 = 11

3 x + 4 = - 11 or 3 x + 4 = 11

x = - 5 or x = \frac{7}{3}

∣ k ∣ - 3 = 2

a ∣ x - h ∣ + k

5 \times ∣ 4 x - 5 ∣ = 3

6 ∣ x + 3 ∣ - 2 ∣ x + 1 ∣ = 0

∣ 2 x ∣ = - 2