What is the answer to (3x+25)/(x+7)-5= 3/x ?

The answer to (3x+25)/(x+7)-5= 3/x is x=-7/2 ,x=-3

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(3x+25)/(x+7)-5= 3/x

\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}

x = - \frac{7}{2}, x = - 3

Decimal Notation

x = - 3.5, x = - 3

Solution steps

\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}

Multiply by LCM

x (3 x + 25) - 5 x (x + 7) = 3 (x + 7)

Solve

x (3 x + 25) - 5 x (x + 7) = 3 (x + 7) : x = - \frac{7}{2}, x = - 3

x = - \frac{7}{2}, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 7, x = 0

Combine undefined points with solutions:

x = - \frac{7}{2}, x = - 3

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

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

\frac{1}{7} + \frac{1}{8} = \frac{1}{x}

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

\frac{30 x + 6288}{x + 166} = 36.54

What is the answer to (3x+25)/(x+7)-5= 3/x ?
The answer to (3x+25)/(x+7)-5= 3/x is x=-7/2 ,x=-3
Solve for x: (3x+25)/(x+7)-5= 3/x
The solution is x=-7/2 ,x=-3