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

The answer to 2/(x+2)-7/(x-5)=10 is x=(25+sqrt(3665))/(20),x=(25-sqrt(3665))/(20)

Solve for x: 2/(x+2)-7/(x-5)=10

The solution is x=(25+sqrt(3665))/(20),x=(25-sqrt(3665))/(20)

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

x = \frac{25 + 3665}{20}, x = \frac{25 - 3665}{20}

Decimal Notation

x = 4.27696 \dots, x = - 1.77696 \dots

Solution steps

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

Multiply by LCM

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

Solve

2 (x - 5) - 7 (x + 2) = 10 (x + 2) (x - 5) : x = \frac{25 + 3665}{20}, x = \frac{25 - 3665}{20}

x = \frac{25 + 3665}{20}, x = \frac{25 - 3665}{20}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 5

Combine undefined points with solutions:

x = \frac{25 + 3665}{20}, x = \frac{25 - 3665}{20}

x - \frac{6}{x - 5} = 0

\frac{3}{x} = 6

\frac{5}{y - 7} = \frac{3}{y - 5}

\frac{2}{x + 8} = \frac{3}{x - 9}

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

What is the answer to 2/(x+2)-7/(x-5)=10 ?
The answer to 2/(x+2)-7/(x-5)=10 is x=(25+sqrt(3665))/(20),x=(25-sqrt(3665))/(20)
Solve for x: 2/(x+2)-7/(x-5)=10
The solution is x=(25+sqrt(3665))/(20),x=(25-sqrt(3665))/(20)