What is the answer to (x+5)/5 = 6/(x-2) ?

The answer to (x+5)/5 = 6/(x-2) is x=5,x=-8

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(x+5)/5 = 6/(x-2)

\frac{x + 5}{5} = \frac{6}{x - 2}

x = 5, x = - 8

Solution steps

\frac{x + 5}{5} = \frac{6}{x - 2}

Cross multiply

(x + 5) (x - 2) = 30

Solve

(x + 5) (x - 2) = 30 : x = 5, x = - 8

x = 5, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 5, x = - 8

x, \frac{c}{x} = r + d

\frac{3}{10} + \frac{3}{2 x - 4} = 0

\frac{4 x - 8}{x} = 12

\frac{1}{2 x + 13} = 9

\frac{6}{6 b + 4} = \frac{2}{b - 4}

What is the answer to (x+5)/5 = 6/(x-2) ?
The answer to (x+5)/5 = 6/(x-2) is x=5,x=-8
Solve for x: (x+5)/5 = 6/(x-2)
The solution is x=5,x=-8