What is the answer to (10)/x-(12)/(x-3)=-4 ?

The answer to (10)/x-(12)/(x-3)=-4 is x=-3/2 ,x=5

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(10)/x-(12)/(x-3)=-4

\frac{10}{x} - \frac{12}{x - 3} = - 4

x = - \frac{3}{2}, x = 5

Decimal Notation

x = - 1.5, x = 5

Solution steps

\frac{10}{x} - \frac{12}{x - 3} = - 4

Multiply by LCM

10 (x - 3) - 12 x = - 4 x (x - 3)

Solve

10 (x - 3) - 12 x = - 4 x (x - 3) : x = - \frac{3}{2}, x = 5

x = - \frac{3}{2}, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = - \frac{3}{2}, x = 5

4 x^{- 2} - 15 x^{- 1} - 4 = 0

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

- \frac{2}{7} = \frac{6}{x}

\frac{5}{y} + \frac{4}{y} = 3

\frac{5}{6} = \frac{13}{s + 7.5}

What is the answer to (10)/x-(12)/(x-3)=-4 ?
The answer to (10)/x-(12)/(x-3)=-4 is x=-3/2 ,x=5
Solve for x: (10)/x-(12)/(x-3)=-4
The solution is x=-3/2 ,x=5