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

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

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

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

x = - 1

Solution steps

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

Multiply both sides by

x + 2

x = 2 - 3 (x + 2)

Expand

2 - 3 (x + 2) : - 3 x - 4

x = - 3 x - 4

Move

3 x

to the left side

4 x = - 4

Divide both sides by

4

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 1

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

2.2 = \frac{4}{x}

\frac{2}{y} = \frac{y}{5}

\frac{9}{x} = - 6

\frac{x}{x + 6} = \frac{3}{x + 10}

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