What is the answer to |2x+6|=3 ?

The answer to |2x+6|=3 is x=-9/2 \lor x=-3/2

Solve for x: |2x+6|=3

The solution is x=-9/2 \lor x=-3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ 2 x + 6 ∣ = 3

x = - \frac{9}{2} or x = - \frac{3}{2}

Decimal Notation

x = - 4.5, x = - 1.5

Solution steps

∣ 2 x + 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 6 = - 3 or 2 x + 6 = 3

2 x + 6 = - 3 or 2 x + 6 = 3

x = - \frac{9}{2} or x = - \frac{3}{2}

4 - 9 ∣ - 6 - x ∣ = - 14

∣ 5 x + 15 ∣ = 45

∣ 8 x - 24 ∣ = 0

∣ 2 x + 9 ∣ + 9 = 5

∣ 14 z + 4 ∣ + 4 = 2