What is the answer to 2/(x-2)= 8/(x+13) ?

The answer to 2/(x-2)= 8/(x+13) is x=7

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2/(x-2)= 8/(x+13)

\frac{2}{x - 2} = \frac{8}{x + 13}

x = 7

Solution steps

\frac{2}{x - 2} = \frac{8}{x + 13}

Cross multiply

2 x + 26 = 8 x - 16

Move

26

to the right side

2 x = 8 x - 42

Move

8 x

to the left side

- 6 x = - 42

Divide both sides by

- 6

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 13

Combine undefined points with solutions:

x = 7

- 1200 + \frac{1350}{( 1 + x ) ^{2}} = 0

\frac{5}{x} = x + 1

26 - 5 y = 8 (\frac{3}{2 y - 0.1})

7 = 1.25 (1 + (\frac{1000}{x}))

(x) = \frac{x}{x ^{2} + 1}

What is the answer to 2/(x-2)= 8/(x+13) ?
The answer to 2/(x-2)= 8/(x+13) is x=7
Solve for x: 2/(x-2)= 8/(x+13)
The solution is x=7