What is the answer to (x+3)/x =(2x+10)/(x-3) ?

The answer to (x+3)/x =(2x+10)/(x-3) is x=-9,x=-1

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(x+3)/x =(2x+10)/(x-3)

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

x = - 9, x = - 1

Solution steps

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

Cross multiply

(x + 3) (x - 3) = x (2 x + 10)

Solve

(x + 3) (x - 3) = x (2 x + 10) : x = - 9, x = - 1

x = - 9, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = - 9, x = - 1

\frac{2 x}{3} - \frac{1}{x} + \frac{5}{6} = 0

x + \frac{3 x + 2}{x + 4} = 2 x

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

1 - \frac{6}{x} = - \frac{5 x}{x + 3}

\frac{1440000}{( x + 2256 )} = 240

What is the answer to (x+3)/x =(2x+10)/(x-3) ?
The answer to (x+3)/x =(2x+10)/(x-3) is x=-9,x=-1
Solve for x: (x+3)/x =(2x+10)/(x-3)
The solution is x=-9,x=-1