What is the answer to (10)/(x+5)=(12)/(x-2) ?

The answer to (10)/(x+5)=(12)/(x-2) is x=-40

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(10)/(x+5)=(12)/(x-2)

\frac{10}{x + 5} = \frac{12}{x - 2}

x = - 40

Solution steps

\frac{10}{x + 5} = \frac{12}{x - 2}

Cross multiply

10 x - 20 = 12 x + 60

Move

20

to the right side

10 x = 12 x + 80

Move

12 x

to the left side

- 2 x = 80

Divide both sides by

- 2

x = - 40

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 2

Combine undefined points with solutions:

x = - 40

100 = 2000 \times x^{- 2}

x + \frac{20}{x - 4} = \frac{5 x}{x - 4} - 2

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

- \frac{2}{x ^{2}} + \frac{2}{x ^{3}} = 0

\frac{10}{x} = 7 - x

What is the answer to (10)/(x+5)=(12)/(x-2) ?
The answer to (10)/(x+5)=(12)/(x-2) is x=-40
Solve for x: (10)/(x+5)=(12)/(x-2)
The solution is x=-40