What is the answer to (4x)/(x+6)-1= 9/(x+6) ?

The answer to (4x)/(x+6)-1= 9/(x+6) is x=5

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(4x)/(x+6)-1= 9/(x+6)

\frac{4 x}{x + 6} - 1 = \frac{9}{x + 6}

x = 5

Solution steps

\frac{4 x}{x + 6} - 1 = \frac{9}{x + 6}

Multiply both sides by

x + 6

4 x - (x + 6) = 9

Expand

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

3 x - 6 = 9

Move

6

to the right side

3 x = 15

Divide both sides by

3

x = 5

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = 5

\frac{x ^{2} - 4}{x ^{2}} = 0

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

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

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

x + \frac{1}{x - 4} = 0

What is the answer to (4x)/(x+6)-1= 9/(x+6) ?
The answer to (4x)/(x+6)-1= 9/(x+6) is x=5
Solve for x: (4x)/(x+6)-1= 9/(x+6)
The solution is x=5