What is the answer to 6/(x-3)+9= 9/(x-3) ?

The answer to 6/(x-3)+9= 9/(x-3) is x= 10/3

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6/(x-3)+9= 9/(x-3)

\frac{6}{x - 3} + 9 = \frac{9}{x - 3}

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

\frac{6}{x - 3} + 9 = \frac{9}{x - 3}

Multiply both sides by

x - 3

6 + 9 (x - 3) = 9

Move

6

to the right side

9 (x - 3) = 3

Divide both sides by

9

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

Move

3

to the right side

x = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{10}{3}

x + \frac{1}{x} - 8 = 0

t, f = \frac{W - 2 t}{t k}

t, V = \frac{S}{t}

x + \frac{24}{x} = 11

- 0.84 = \frac{575000 - 562750}{x}

What is the answer to 6/(x-3)+9= 9/(x-3) ?
The answer to 6/(x-3)+9= 9/(x-3) is x= 10/3
Solve for x: 6/(x-3)+9= 9/(x-3)
The solution is x= 10/3