What is the answer to 2+4/a =(14)/a-3 ?

The answer to 2+4/a =(14)/a-3 is a=2

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2+4/a =(14)/a-3

2 + \frac{4}{a} = \frac{14}{a} - 3

a = 2

Solution steps

2 + \frac{4}{a} = \frac{14}{a} - 3

Move

2

to the right side

\frac{4}{a} = \frac{14}{a} - 5

Multiply both sides by

a

4 = 14 - 5 a

Switch sides

14 - 5 a = 4

Move

14

to the right side

- 5 a = - 10

Divide both sides by

- 5

a = 2

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 2

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

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

\frac{60}{x} + \frac{10}{10} = 1

\frac{x - 4}{x - 9} = 9

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