What is the answer to x/6-(x-1)/2 =(x-13)/9 ?

The answer to x/6-(x-1)/2 =(x-13)/9 is x= 35/8

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x/6-(x-1)/2 =(x-13)/9

\frac{x}{6} - \frac{x - 1}{2} = \frac{x - 13}{9}

x = \frac{35}{8}

Decimal Notation

x = 4.375

Solution steps

\frac{x}{6} - \frac{x - 1}{2} = \frac{x - 13}{9}

Multiply by LCM

3 x - 9 (x - 1) = 2 (x - 13)

Expand

- 9 (x - 1) : - 9 x + 9

3 x - 9 x + 9 = 2 (x - 13)

Add similar elements:

3 x - 9 x = - 6 x

- 6 x + 9 = 2 (x - 13)

Expand

2 (x - 13) : 2 x - 26

- 6 x + 9 = 2 x - 26

Move

9

to the right side

- 6 x = 2 x - 35

Move

2 x

to the left side

- 8 x = - 35

Divide both sides by

- 8

x = \frac{35}{8}

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

16 = 16 + \frac{1}{2} x

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

\frac{3}{4} x - 2 = \frac{5}{8} x + 3

- 3 + 2 x = 5 + 10 x

What is the answer to x/6-(x-1)/2 =(x-13)/9 ?
The answer to x/6-(x-1)/2 =(x-13)/9 is x= 35/8
Solve for x: x/6-(x-1)/2 =(x-13)/9
The solution is x= 35/8