What is the answer to 5/(x-3)+2= 9/(x-3) ?

The answer to 5/(x-3)+2= 9/(x-3) is x=5

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5/(x-3)+2= 9/(x-3)

\frac{5}{x - 3} + 2 = \frac{9}{x - 3}

x = 5

Solution steps

\frac{5}{x - 3} + 2 = \frac{9}{x - 3}

Multiply both sides by

x - 3

5 + 2 (x - 3) = 9

Move

5

to the right side

2 (x - 3) = 4

Divide both sides by

2

x - 3 = 2

Move

3

to the right side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 5

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

\frac{x}{2} - \frac{2}{x + 1} = 1

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

\frac{3 x + 1}{2 x - 3} = \frac{1}{8}

1 = \frac{16 x ^{2}}{x ^{4} + 64}

What is the answer to 5/(x-3)+2= 9/(x-3) ?
The answer to 5/(x-3)+2= 9/(x-3) is x=5
Solve for x: 5/(x-3)+2= 9/(x-3)
The solution is x=5