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

The answer to |2x-3|-4=3 is x=-2\lor x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x-3|-4=3

∣ 2 x - 3 ∣ - 4 = 3

x = - 2 or x = 5

Solution steps

∣ 2 x - 3 ∣ - 4 = 3

Move

4

to the right side

∣ 2 x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 7 or 2 x - 3 = 7

2 x - 3 = - 7 or 2 x - 3 = 7

x = - 2 or x = 5

5 x^{2} - 20 x + 15 = 0

\frac{2 ^{4 m}}{16}

3 - \frac{2}{5}

- 2 < 7 x - 13 \leq 15

6 m^{2} - mn - n^{2}