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

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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{3 ( \frac{- 2 - ( - 6 )}{3} )}{8} (11 + 3 x + 5 x) = - 2.5

90 + 40 + x + 57 = 180

\frac{1}{3} + 3 \frac{1}{3} + 5 \frac{2}{3} = 13 \frac{5}{3}, A = 2

- U + 6 = 12 - U

x, 4 x - 221 y + 221 + 17 = 0

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