What is the answer to (x+4)/(2x+5)=x+2 ?

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

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(x+4)/(2x+5)=x+2

\frac{x + 4}{2 x + 5} = x + 2

x = - 1, x = - 3

Solution steps

\frac{x + 4}{2 x + 5} = x + 2

Multiply both sides by

2 x + 5

x + 4 = x (2 x + 5) + 2 (2 x + 5)

Solve

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

x = - 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{2}

Combine undefined points with solutions:

x = - 1, x = - 3

\frac{5 x + 8}{5 x - 1} = \frac{4}{9}

4 x - \frac{13}{x} = \frac{3}{2}

x + \frac{1}{x} = \frac{17}{4}

0.2 = \frac{x ^{2}}{85 - x}

\frac{n}{n - 3} = \frac{2}{3}

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