What is the answer to 41/9 = 5/2 (x+2/3)-1/3 x ?

The answer to 41/9 = 5/2 (x+2/3)-1/3 x is x= 4/3

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41/9 = 5/2 (x+2/3)-1/3 x

\frac{41}{9} = \frac{5}{2} (x + \frac{2}{3}) - \frac{1}{3} x

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

\frac{41}{9} = \frac{5}{2} (x + \frac{2}{3}) - \frac{1}{3} x

Switch sides

\frac{5}{2} (x + \frac{2}{3}) - \frac{1}{3} x = \frac{41}{9}

Multiply by LCM

45 (x + \frac{2}{3}) - 6 x = 82

Expand

45 (x + \frac{2}{3}) - 6 x : 39 x + 30

39 x + 30 = 82

Move

30

to the right side

39 x = 52

Divide both sides by

39

x = \frac{4}{3}

3 x + 1 = - 5

4 (5 - x) = 8

x - 5 = - 8

- 7 (k + 4) - 2 k = 3 (2 k + 9) + 5

f, (\frac{f}{g}) (x) = \frac{x ^{2} - 1}{x + 1}

What is the answer to 41/9 = 5/2 (x+2/3)-1/3 x ?
The answer to 41/9 = 5/2 (x+2/3)-1/3 x is x= 4/3
Solve for x: 41/9 = 5/2 (x+2/3)-1/3 x
The solution is x= 4/3