What is the answer to x/(x-3)+1= 7/(x-3) ?

The answer to x/(x-3)+1= 7/(x-3) is x=5

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x/(x-3)+1= 7/(x-3)

\frac{x}{x - 3} + 1 = \frac{7}{x - 3}

x = 5

Solution steps

\frac{x}{x - 3} + 1 = \frac{7}{x - 3}

Multiply both sides by

x - 3

2 x - 3 = 7

Move

3

to the right side

2 x = 10

Divide both sides by

2

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 5

n (x) = \frac{( 7 x + 5 )}{( x - 9 )}

\frac{x - 2}{x - 6} = \frac{- 4}{x}

\frac{1}{3 x} = 5

\frac{2 x - 3}{5 x} = \frac{11}{2}

\frac{14}{x} = \frac{7}{2}

What is the answer to x/(x-3)+1= 7/(x-3) ?
The answer to x/(x-3)+1= 7/(x-3) is x=5
Solve for x: x/(x-3)+1= 7/(x-3)
The solution is x=5