What is the answer to (2x-3)/4-x/6 =2-x+1 ?

The answer to (2x-3)/4-x/6 =2-x+1 is x= 45/16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x-3)/4-x/6 =2-x+1

\frac{2 x - 3}{4} - \frac{x}{6} = 2 - x + 1

x = \frac{45}{16}

Decimal Notation

x = 2.8125

Solution steps

\frac{2 x - 3}{4} - \frac{x}{6} = 2 - x + 1

Group like terms

\frac{2 x - 3}{4} - \frac{x}{6} = - x + 2 + 1

Add the numbers:

2 + 1 = 3

\frac{2 x - 3}{4} - \frac{x}{6} = - x + 3

Multiply by LCM

3 (2 x - 3) - 2 x = - 12 x + 36

Expand

3 (2 x - 3) - 2 x : 4 x - 9

4 x - 9 = - 12 x + 36

Move

9

to the right side

4 x = - 12 x + 45

Move

12 x

to the left side

16 x = 45

Divide both sides by

16

x = \frac{45}{16}

x + 2 = 5 x - 2

0.5 x = x + 5

k, \frac{k + a}{5} = 3 k

1 - 7 v = - 3 v - 7

- \frac{4}{9} x = - 36

What is the answer to (2x-3)/4-x/6 =2-x+1 ?
The answer to (2x-3)/4-x/6 =2-x+1 is x= 45/16
Solve for x: (2x-3)/4-x/6 =2-x+1
The solution is x= 45/16