What is the answer to 5|x-4|=4 ?

The answer to 5|x-4|=4 is x= 16/5 \lor x= 24/5

Solve for x: 5|x-4|=4

The solution is x= 16/5 \lor x= 24/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 ∣ x - 4 ∣ = 4

x = \frac{16}{5} or x = \frac{24}{5}

Decimal Notation

x = 3.2, x = 4.8

Solution steps

5 ∣ x - 4 ∣ = 4

Divide both sides by

5

∣ x - 4 ∣ = \frac{4}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{4}{5} or x - 4 = \frac{4}{5}

x - 4 = - \frac{4}{5} or x - 4 = \frac{4}{5}

x = \frac{16}{5} or x = \frac{24}{5}

∣ 5 x - 1 ∣ + 7 = 3 x

∣ 3 x + 4 ∣ = - 9

∣ 3 x + 7 ∣ - 10 = 30

∣ 3 x + 5 ∣ 8 - 6 x + 2 = 0

∣ 0.5 x ∣ = 6