What is the answer to -2|2x+1|+7=1 ?

The answer to -2|2x+1|+7=1 is x=-2\lor x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2|2x+1|+7=1

- 2 ∣ 2 x + 1 ∣ + 7 = 1

x = - 2 or x = 1

Solution steps

- 2 ∣ 2 x + 1 ∣ + 7 = 1

Move

7

to the right side

- 2 ∣ 2 x + 1 ∣ = - 6

Divide both sides by

- 2

∣ 2 x + 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 3 or 2 x + 1 = 3

2 x + 1 = - 3 or 2 x + 1 = 3

x = - 2 or x = 1

\frac{4}{x ^{2} + 9} > 0

\frac{10}{11} - \frac{1}{2}

8 x^{2} - 14 x - 15 = 0

5 - x > 0

\frac{1}{\frac{1}{x} + \frac{1}{y}}