What is the answer to 2x+1= 5/((x+2)) ?

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

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2x+1= 5/((x+2))

2 x + 1 = \frac{5}{( x + 2 )}

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

Solution steps

2 x + 1 = \frac{5}{( x + 2 )}

Simplify

\frac{5}{( x + 2 )} : \frac{5}{x + 2}

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

Multiply both sides by

x + 2

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

Solve

2 x (x + 2) + x + 2 = 5 : x = \frac{1}{2}, x = - 3

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

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

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

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

- 5 + \frac{1}{x} = - 6 x

7.37 = \frac{2 x}{0.5 - x}

\frac{3}{2 ( x - 2 ) - 5} = 19

\frac{25}{p - 16} = \frac{9}{p}

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