What is the answer to 5/(x-2)=7-(10)/(x+2) ?

The answer to 5/(x-2)=7-(10)/(x+2) is x=3,x=-6/7

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5/(x-2)=7-(10)/(x+2)

\frac{5}{x - 2} = 7 - \frac{10}{x + 2}

x = 3, x = - \frac{6}{7}

Decimal Notation

x = 3, x = - 0.85714 \dots

Solution steps

\frac{5}{x - 2} = 7 - \frac{10}{x + 2}

Multiply by LCM

5 (x + 2) = 7 (x - 2) (x + 2) - 10 (x - 2)

Solve

5 (x + 2) = 7 (x - 2) (x + 2) - 10 (x - 2) : x = 3, x = - \frac{6}{7}

x = 3, x = - \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = 3, x = - \frac{6}{7}

\frac{1}{2 ( 6 - 2 f )} = 6

t, a = \frac{v}{t}

\frac{1}{p - 1} = \frac{2}{p - 2}

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

x, \frac{3 + x}{5 - x} = 6 + y

What is the answer to 5/(x-2)=7-(10)/(x+2) ?
The answer to 5/(x-2)=7-(10)/(x+2) is x=3,x=-6/7
Solve for x: 5/(x-2)=7-(10)/(x+2)
The solution is x=3,x=-6/7