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

The answer to 2/(x+5)=(x+2)/(x+3) is x=-1,x=-4

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

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

x = - 1, x = - 4

Solution steps

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

Cross multiply

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

Solve

2 (x + 3) = (x + 5) (x + 2) : x = - 1, x = - 4

x = - 1, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = - 3

Combine undefined points with solutions:

x = - 1, x = - 4

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

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

\frac{18}{x} = 2

\frac{31}{10 s} = \frac{61}{5}

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

What is the answer to 2/(x+5)=(x+2)/(x+3) ?
The answer to 2/(x+5)=(x+2)/(x+3) is x=-1,x=-4
Solve for x: 2/(x+5)=(x+2)/(x+3)
The solution is x=-1,x=-4