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

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

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

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

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

Decimal Notation

x = - 0.5, x = - 1

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 2

Combine undefined points with solutions:

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

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

t, P = \frac{W}{t}

\frac{y - 1}{y + 1} = \frac{3}{y + 3}

\frac{2}{3 x + 1} = \frac{5}{8 x + 1}

\frac{27}{x} = \frac{x}{3}

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