What is the answer to 3/(x-9)+1=(4x)/(x-9) ?

The answer to 3/(x-9)+1=(4x)/(x-9) is x=-2

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

\frac{3}{x - 9} + 1 = \frac{4 x}{x - 9}

x = - 2

Solution steps

\frac{3}{x - 9} + 1 = \frac{4 x}{x - 9}

Multiply both sides by

x - 9

x - 6 = 4 x

Move

6

to the right side

x = 4 x + 6

Move

4 x

to the left side

- 3 x = 6

Divide both sides by

- 3

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = - 2

2 x - \frac{400}{x ^{2}} = 0

y, x = \frac{y + 1}{y + 2}

\frac{1}{3 - x} = \frac{x ^{2} - 9}{( x - 3 ) ^{2}}

5 - \frac{900}{x ^{2}} = 0

0 = - \frac{1}{x ^{2}} - \frac{1}{x}

What is the answer to 3/(x-9)+1=(4x)/(x-9) ?
The answer to 3/(x-9)+1=(4x)/(x-9) is x=-2
Solve for x: 3/(x-9)+1=(4x)/(x-9)
The solution is x=-2