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

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

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

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

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

Decimal Notation

x = 3, x = - 0.85714 \dots

Solution steps

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

Multiply by LCM

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

Solve

7 (x - 2) (x + 2) - 5 (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{5.6}{0.4 - r} = - 8

\frac{3 ( a + 1 )}{a} = a

\frac{36}{b} - 3 = 0

\frac{2 x ^{2}}{x ^{4} + 1} = 1

\frac{x}{3} - 1 = \frac{6}{x}

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