What is the answer to 5/(x+4)=4+7/(x-2) ?

The answer to 5/(x+4)=4+7/(x-2) is x=-1,x=-3/2

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5/(x+4)=4+7/(x-2)

\frac{5}{x + 4} = 4 + \frac{7}{x - 2}

x = - 1, x = - \frac{3}{2}

Solution steps

\frac{5}{x + 4} = 4 + \frac{7}{x - 2}

Multiply by LCM

5 (x - 2) = 4 (x + 4) (x - 2) + 7 (x + 4)

Solve

5 (x - 2) = 4 (x + 4) (x - 2) + 7 (x + 4) : x = - 1, x = - \frac{3}{2}

x = - 1, x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 2

Combine undefined points with solutions:

x = - 1, x = - \frac{3}{2}

\frac{3 y}{y - 3} = 2 + \frac{9}{y - 3}

\frac{5}{x - 10} + \frac{5}{x} = 3

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

0.11 = (\frac{x ^{2}}{0.1 - x})

\frac{3}{x} = \frac{11}{5 x} + 4

What is the answer to 5/(x+4)=4+7/(x-2) ?
The answer to 5/(x+4)=4+7/(x-2) is x=-1,x=-3/2
Solve for x: 5/(x+4)=4+7/(x-2)
The solution is x=-1,x=-3/2