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

The answer to 3/(x-4)+(x-3)/x =2 is x=-2,x=6

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3/(x-4)+(x-3)/x =2

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

x = - 2, x = 6

Solution steps

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

Multiply by LCM

3 x + (x - 3) (x - 4) = 2 x (x - 4)

Solve

3 x + (x - 3) (x - 4) = 2 x (x - 4) : x = - 2, x = 6

x = - 2, x = 6

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 0

Combine undefined points with solutions:

x = - 2, x = 6

2 = \frac{x + 2}{x - 6}

x + \frac{12}{x} = 7

\frac{n - 6}{n - 7} = \frac{9}{2}

\frac{4}{x} = \frac{29}{8 x} + 3

\frac{7}{x + 4} = \frac{9}{5 x - 6}

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