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

The answer to |4x-3|+2=2 is x= 3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x-3|+2=2

∣ 4 x - 3 ∣ + 2 = 2

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

∣ 4 x - 3 ∣ + 2 = 2

Subtract

2

from both sides

∣ 4 x - 3 ∣ + 2 - 2 = 2 - 2

Simplify

∣ 4 x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 x - 3 = 0

4 x - 3 = 0 : x = \frac{3}{4}

x = \frac{3}{4}

∣ 6 x - 3 ∣ = 1

∣ 7 x + 2 ∣ = 0

5 + ∣ 6 - x ∣ = 4

∣ 2 x - 5 ∣ = x + 1

∣ 2 x - 5 ∣ = x + 4