What is the answer to (x-7)/(2x-9)= 4/3 ?

The answer to (x-7)/(2x-9)= 4/3 is x=3

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(x-7)/(2x-9)= 4/3

\frac{x - 7}{2 x - 9} = \frac{4}{3}

x = 3

Solution steps

\frac{x - 7}{2 x - 9} = \frac{4}{3}

Cross multiply

3 x - 21 = 8 x - 36

Move

21

to the right side

3 x = 8 x - 15

Move

8 x

to the left side

- 5 x = - 15

Divide both sides by

- 5

x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{9}{2}

Combine undefined points with solutions:

x = 3

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

\frac{2}{( x + 1 ) ^{3}} = 0

\frac{4 x - 1}{2 x + 3} = \frac{2 x + 1}{6 x + 5}

\frac{1}{x + 2} = \frac{x - 2}{5}

- \frac{5}{x + 5} + 6 x = \frac{x}{x + 5}

What is the answer to (x-7)/(2x-9)= 4/3 ?
The answer to (x-7)/(2x-9)= 4/3 is x=3
Solve for x: (x-7)/(2x-9)= 4/3
The solution is x=3