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

The answer to x/(x-3)+1/3 =1 is x=-6

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x/(x-3)+1/3 =1

\frac{x}{x - 3} + \frac{1}{3} = 1

x = - 6

Solution steps

\frac{x}{x - 3} + \frac{1}{3} = 1

Multiply by LCM

4 x - 3 = 3 x - 9

Move

3

to the right side

4 x = 3 x - 6

Move

3 x

to the left side

x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 6

\frac{8}{w - 4} - \frac{2}{w - 4} = 6

- \frac{10 x}{3 - x} = 5

y = \frac{- 1}{6 ( 3 y ^{2} + 3 )}

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

\frac{5}{3 x - 4} = \frac{- 3}{1 - 2 x}