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

The answer to x/(x+3)=3-2/(x+3) is x=-7/2

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

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

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

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

Multiply both sides by

x + 3

x = 3 (x + 3) - 2

Expand

3 (x + 3) - 2 : 3 x + 7

x = 3 x + 7

Move

3 x

to the left side

- 2 x = 7

Divide both sides by

- 2

x = - \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{7}{2}

\frac{x}{x - 7} - 7 = \frac{7}{x - 7}

\frac{3}{z} = \frac{1}{8}

y, x = \frac{4 - y}{y}

\frac{3}{x ^{5}} = 8

y, x = \frac{2 y + 3}{y - 4}

What is the answer to x/(x+3)=3-2/(x+3) ?
The answer to x/(x+3)=3-2/(x+3) is x=-7/2
Solve for x: x/(x+3)=3-2/(x+3)
The solution is x=-7/2