What is the answer to 3/(x-6)= 2/(2x-9) ?

The answer to 3/(x-6)= 2/(2x-9) is x= 15/4

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3/(x-6)= 2/(2x-9)

\frac{3}{x - 6} = \frac{2}{2 x - 9}

x = \frac{15}{4}

Decimal Notation

x = 3.75

Solution steps

\frac{3}{x - 6} = \frac{2}{2 x - 9}

Cross multiply

6 x - 27 = 2 x - 12

Move

27

to the right side

6 x = 2 x + 15

Move

2 x

to the left side

4 x = 15

Divide both sides by

4

x = \frac{15}{4}

Verify Solutions

Find undefined (singularity) points:

x = 6, x = \frac{9}{2}

Combine undefined points with solutions:

x = \frac{15}{4}

1 - \frac{7}{x - 2} = \frac{7}{x ^{2} - 5 x + 6}

\frac{0.3}{4} = \frac{9}{y}

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

\frac{8432 - 3870}{x} = 8346

\frac{28}{x - 36} = \frac{36}{x - 28}

What is the answer to 3/(x-6)= 2/(2x-9) ?
The answer to 3/(x-6)= 2/(2x-9) is x= 15/4
Solve for x: 3/(x-6)= 2/(2x-9)
The solution is x= 15/4