What is the answer to 6/(x+2)-7=3 ?

The answer to 6/(x+2)-7=3 is x=-7/5

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6/(x+2)-7=3

\frac{6}{x + 2} - 7 = 3

x = - \frac{7}{5}

Decimal Notation

x = - 1.4

Solution steps

\frac{6}{x + 2} - 7 = 3

Move

7

to the right side

\frac{6}{x + 2} = 10

Multiply both sides by

x + 2

6 = 10 (x + 2)

Switch sides

10 (x + 2) = 6

Divide both sides by

10

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

Move

2

to the right side

x = - \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{7}{5}

t, s = \frac{2 d}{t}

\frac{7}{x} + \frac{1}{4} = \frac{9}{x}

\frac{x - 4}{x - 6} = 2

- \frac{7 x}{x - 9} + 6 = \frac{1}{x - 9}

\frac{1}{x} + \frac{1}{x ^{2}} = \frac{3}{4}