What is the answer to 5-(2x-8)/2 =(3x)/2-(3-x)/5 ?

The answer to 5-(2x-8)/2 =(3x)/2-(3-x)/5 is x= 32/9

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5-(2x-8)/2 =(3x)/2-(3-x)/5

5 - \frac{2 x - 8}{2} = \frac{3 x}{2} - \frac{3 - x}{5}

x = \frac{32}{9}

Decimal Notation

x = 3.55555 \dots

Solution steps

5 - \frac{2 x - 8}{2} = \frac{3 x}{2} - \frac{3 - x}{5}

Multiply by LCM

50 - 10 (x - 4) = 15 x - 2 (- x + 3)

Expand

- 2 (- x + 3) : 2 x - 6

- 10 x + 90 = 15 x + 2 x - 6

Add similar elements:

15 x + 2 x = 17 x

- 10 x + 90 = 17 x - 6

Expand

50 - 10 (x - 4) : - 10 x + 90

- 10 x + 90 = 17 x - 6

Move

90

to the right side

- 10 x = 17 x - 96

Move

17 x

to the left side

- 27 x = - 96

Divide both sides by

- 27

x = \frac{32}{9}

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

\frac{1}{2} = \frac{x}{6}

4 (1 + 4 x) = 2 (2 + 8 x)

4 x + 1 = 2 x + 5

7 + \frac{2}{11} z = 13

What is the answer to 5-(2x-8)/2 =(3x)/2-(3-x)/5 ?
The answer to 5-(2x-8)/2 =(3x)/2-(3-x)/5 is x= 32/9
Solve for x: 5-(2x-8)/2 =(3x)/2-(3-x)/5
The solution is x= 32/9