What is the answer to -2|x-4|+7=-3 ?

The answer to -2|x-4|+7=-3 is x=-1\lor x=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2|x-4|+7=-3

- 2 ∣ x - 4 ∣ + 7 = - 3

x = - 1 or x = 9

Solution steps

- 2 ∣ x - 4 ∣ + 7 = - 3

Move

7

to the right side

- 2 ∣ x - 4 ∣ = - 10

Divide both sides by

- 2

∣ x - 4 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 5 or x - 4 = 5

x - 4 = - 5 or x - 4 = 5

x = - 1 or x = 9

x^{2} - 3 x - 2 = ∣ x - 1 ∣

∣ x - 3 ∣ = 5 x + 9

7 ∣ x - 4 ∣ = 4

x, ∣ x + y ∣ = 1

\frac{3}{4} x - 3 = 9