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

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

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

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

x = 2

Solution steps

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

Multiply both sides by

x + 5

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

Solve

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

x = 2, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 5

Since the equation is undefined for:

- 5

x = 2

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

6 x + 9 = \frac{13}{5 - x}

x + \frac{3}{x + 3} = \frac{7}{x + 3}

\frac{1}{x + 4} - \frac{1}{x + 5} = \frac{1}{12}

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

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