What is the answer to (x-3)/x = 8/(x+3) ?

The answer to (x-3)/x = 8/(x+3) is x=9,x=-1

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(x-3)/x = 8/(x+3)

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

x = 9, x = - 1

Solution steps

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

Cross multiply

(x - 3) (x + 3) = x \cdot 8

Solve

(x - 3) (x + 3) = x \cdot 8 : 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{( x + 2 ) !}{( x + 1 ) !} = 7

0.026 = \frac{2468 - x}{x}

\frac{8}{100} = \frac{2}{x}

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

1 0^{- 4} = \frac{x}{0.1 - x}

What is the answer to (x-3)/x = 8/(x+3) ?
The answer to (x-3)/x = 8/(x+3) is x=9,x=-1
Solve for x: (x-3)/x = 8/(x+3)
The solution is x=9,x=-1