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

The answer to x+(x+2)/(x-3)= 5/(x-3) is x=-1

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

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

x = - 1

Solution steps

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

Multiply both sides by

x - 3

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

Solve

x (x - 3) + x + 2 = 5 : x = 3, x = - 1

x = 3, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Since the equation is undefined for:

3

x = - 1

\frac{21}{4 x} + \frac{9}{8} = 2

x - \frac{42}{x} = - 1

5.916 x = 1 - (\frac{1}{1 + x})^{10}

0 = 1 - \frac{1}{x - 2}

2 x - \frac{12}{2 - x} = 7 + \frac{11 x + 11}{9}

What is the answer to x+(x+2)/(x-3)= 5/(x-3) ?
The answer to x+(x+2)/(x-3)= 5/(x-3) is x=-1
Solve for x: x+(x+2)/(x-3)= 5/(x-3)
The solution is x=-1