What is the answer to x/(x-4)+1= 6/(x-4) ?

The answer to x/(x-4)+1= 6/(x-4) is x=5

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x/(x-4)+1= 6/(x-4)

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

x = 5

Solution steps

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

Multiply both sides by

x - 4

2 x - 4 = 6

Move

4

to the right side

2 x = 10

Divide both sides by

2

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 5

2 - \frac{15}{p} = - \frac{25}{p ^{2}}

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

1 - \frac{8 x}{x - 6} = \frac{1}{x - 6}

\frac{x - 13}{x} = 5 - \frac{10 ( 5 x + 3 )}{x ^{2}}

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

What is the answer to x/(x-4)+1= 6/(x-4) ?
The answer to x/(x-4)+1= 6/(x-4) is x=5
Solve for x: x/(x-4)+1= 6/(x-4)
The solution is x=5