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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4|3-2x|+2=2

4 ∣ 3 - 2 x ∣ + 2 = 2

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

4 ∣ 3 - 2 x ∣ + 2 = 2

Subtract

2

from both sides

4 ∣ 3 - 2 x ∣ + 2 - 2 = 2 - 2

Simplify

4 ∣ 3 - 2 x ∣ = 0

Divide both sides by

4

∣ 3 - 2 x ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 - 2 x = 0

3 - 2 x = 0 : x = \frac{3}{2}

x = \frac{3}{2}

4 ∣ b + 2 ∣ - 8 = - 3

- 7 + ∣ - 2 p + 4 ∣ = 7

2 x - 1 = ∣ x - 5 ∣

∣ 9 x - 4 ∣ = 86

∣ 3 - 2 x ∣ = 6