What is the answer to 2/3 x+1/2 (x-3)=(x+1)/4 ?

The answer to 2/3 x+1/2 (x-3)=(x+1)/4 is x= 21/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/3 x+1/2 (x-3)=(x+1)/4

\frac{2}{3} x + \frac{1}{2} (x - 3) = \frac{x + 1}{4}

x = \frac{21}{11}

Decimal Notation

x = 1.90909 \dots

Solution steps

\frac{2}{3} x + \frac{1}{2} (x - 3) = \frac{x + 1}{4}

Multiply by LCM

8 x + 6 (x - 3) = 3 (x + 1)

Expand

6 (x - 3) : 6 x - 18

8 x + 6 x - 18 = 3 (x + 1)

Add similar elements:

8 x + 6 x = 14 x

14 x - 18 = 3 (x + 1)

Expand

3 (x + 1) : 3 x + 3

14 x - 18 = 3 x + 3

Move

18

to the right side

14 x = 3 x + 21

Move

3 x

to the left side

11 x = 21

Divide both sides by

11

x = \frac{21}{11}

\frac{2}{3} g + \frac{1}{2} g = 14

x, 8 x + 8 y = 24

x, 2 x + 4 y = 22

- 12 = 5 r + 8

- 5 + 4 k = - 5

What is the answer to 2/3 x+1/2 (x-3)=(x+1)/4 ?
The answer to 2/3 x+1/2 (x-3)=(x+1)/4 is x= 21/11
Solve for x: 2/3 x+1/2 (x-3)=(x+1)/4
The solution is x= 21/11