What is the answer to (12)/(6x-9)= 4/(x-4) ?

The answer to (12)/(6x-9)= 4/(x-4) is x=-1

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(12)/(6x-9)= 4/(x-4)

\frac{12}{6 x - 9} = \frac{4}{x - 4}

x = - 1

Solution steps

\frac{12}{6 x - 9} = \frac{4}{x - 4}

Cross multiply

4 x - 16 = 8 x - 12

Move

16

to the right side

4 x = 8 x + 4

Move

8 x

to the left side

- 4 x = 4

Divide both sides by

- 4

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}, x = 4

Combine undefined points with solutions:

x = - 1

x, r = \frac{( a - x )}{a + x}

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

\frac{15}{x - 2} = 0

\frac{15}{60} = \frac{60}{x}

0 = \frac{6 x - x ^{2}}{( 3 - x ) ^{2}}

What is the answer to (12)/(6x-9)= 4/(x-4) ?
The answer to (12)/(6x-9)= 4/(x-4) is x=-1
Solve for x: (12)/(6x-9)= 4/(x-4)
The solution is x=-1