What is the answer to 2-2|x-2|=-8 ?

The answer to 2-2|x-2|=-8 is x=-3\lor x=7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2-2|x-2|=-8

2 - 2 ∣ x - 2 ∣ = - 8

x = - 3 or x = 7

Solution steps

2 - 2 ∣ x - 2 ∣ = - 8

Move

2

to the right side

- 2 ∣ x - 2 ∣ = - 10

Divide both sides by

- 2

∣ x - 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 5 or x - 2 = 5

x - 2 = - 5 or x - 2 = 5

x = - 3 or x = 7

2 x^{2} + 3 x - 2 \geq 0

\frac{9}{5} \cdot (\frac{2}{5} x - 2) - \frac{3}{10} x = \frac{1}{2}

\frac{y ^{6}}{y ^{3}}

∣ 2 x + 5 ∣ \leq 15

2 x^{2} - x - 3 x = 0