What is the answer to 6|1-x|+7=31 ?

The answer to 6|1-x|+7=31 is x=-3\lor x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6|1-x|+7=31

6 ∣ 1 - x ∣ + 7 = 31

x = - 3 or x = 5

Solution steps

6 ∣ 1 - x ∣ + 7 = 31

Move

7

to the right side

6 ∣ 1 - x ∣ = 24

Divide both sides by

6

∣ 1 - x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - x = - 4 or 1 - x = 4

1 - x = - 4 or 1 - x = 4

x = - 3 or x = 5

∣ a + 7 ∣ = 5

∣ x + 1 ∣ = 3 x

4 ∣ 2 x - 4 ∣ = 32

5 - 8 ∣ a + 1 ∣ = - 67

x^{2} = 0