What is the answer to (x+5}{x-3}=\frac{2x+7)/x ?

The answer to (x+5}{x-3}=\frac{2x+7)/x is x=7,x=-3

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(x+5}{x-3}=\frac{2x+7)/x

\frac{x + 5}{x - 3} = \frac{2 x + 7}{x}

x = 7, x = - 3

Solution steps

\frac{x + 5}{x - 3} = \frac{2 x + 7}{x}

Cross multiply

(x + 5) x = (x - 3) (2 x + 7)

Solve

(x + 5) x = (x - 3) (2 x + 7) : x = 7, x = - 3

x = 7, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 0

Combine undefined points with solutions:

x = 7, x = - 3

\frac{x}{x - 3} = \frac{5}{x - 3} - \frac{1}{2}

\frac{4}{( x - 2 ) ^{2}} - 1 = 0

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

x, 16 = \frac{1 - x}{x ^{2}}

\frac{4}{x} - \frac{5}{x + 3} = 1

What is the answer to (x+5}{x-3}=\frac{2x+7)/x ?
The answer to (x+5}{x-3}=\frac{2x+7)/x is x=7,x=-3
Solve for x: (x+5}{x-3}=\frac{2x+7)/x
The solution is x=7,x=-3