What is the answer to 1/(x-2)+3=(16)/(x-2) ?

The answer to 1/(x-2)+3=(16)/(x-2) is x=7

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1/(x-2)+3=(16)/(x-2)

\frac{1}{x - 2} + 3 = \frac{16}{x - 2}

x = 7

Solution steps

\frac{1}{x - 2} + 3 = \frac{16}{x - 2}

Multiply both sides by

x - 2

1 + 3 (x - 2) = 16

Move

1

to the right side

3 (x - 2) = 15

Divide both sides by

3

x - 2 = 5

Move

2

to the right side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 7

\frac{6}{2 ( y )} = 9

1 + \frac{5}{y - 1} = \frac{7}{6}

\frac{3}{( 5 w )} = 2

h = \frac{200}{π r ^{2}}

\frac{3 x}{5} = \frac{4 ( 15 - x )}{x}

What is the answer to 1/(x-2)+3=(16)/(x-2) ?
The answer to 1/(x-2)+3=(16)/(x-2) is x=7
Solve for x: 1/(x-2)+3=(16)/(x-2)
The solution is x=7