What is the answer to 2/(x+5)=(x+2)/(3x+11) ?

The answer to 2/(x+5)=(x+2)/(3x+11) is x=3,x=-4

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2/(x+5)=(x+2)/(3x+11)

\frac{2}{x + 5} = \frac{x + 2}{3 x + 11}

x = 3, x = - 4

Solution steps

\frac{2}{x + 5} = \frac{x + 2}{3 x + 11}

Cross multiply

2 (3 x + 11) = (x + 5) (x + 2)

Solve

2 (3 x + 11) = (x + 5) (x + 2) : x = 3, x = - 4

x = 3, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = - \frac{11}{3}

Combine undefined points with solutions:

x = 3, x = - 4

\frac{6}{x + 1} - \frac{1}{4} = \frac{1}{3 x + 3}

\frac{1}{x - 5} + \frac{3}{8} = \frac{6}{7}

\frac{1440300}{( x + 2256 )} = 12

y, \frac{3}{2 x y} = \frac{1}{x ^{2}}

y, x - \frac{1}{x} = y - \frac{1}{y}

What is the answer to 2/(x+5)=(x+2)/(3x+11) ?
The answer to 2/(x+5)=(x+2)/(3x+11) is x=3,x=-4
Solve for x: 2/(x+5)=(x+2)/(3x+11)
The solution is x=3,x=-4