What is the answer to 3-x/(x+2)=7 ?

The answer to 3-x/(x+2)=7 is x=-8/5

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3-x/(x+2)=7

3 - \frac{x}{x + 2} = 7

x = - \frac{8}{5}

Decimal Notation

x = - 1.6

Solution steps

3 - \frac{x}{x + 2} = 7

Move

3

to the right side

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

Multiply both sides by

x + 2

- x = 4 (x + 2)

Expand

4 (x + 2) : 4 x + 8

- x = 4 x + 8

Move

4 x

to the left side

- 5 x = 8

Divide both sides by

- 5

x = - \frac{8}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{8}{5}

\frac{e}{e} = \frac{r + r}{r}

6 + \frac{1}{x + 4} = 5

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

\frac{2}{5 x} = 10

k, 7 - 3 m = \frac{2}{k}