What is the answer to (2x+1)/(x-5)=3 ?

The answer to (2x+1)/(x-5)=3 is x=16

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(2x+1)/(x-5)=3

\frac{2 x + 1}{x - 5} = 3

x = 16

Solution steps

\frac{2 x + 1}{x - 5} = 3

Multiply both sides by

x - 5

2 x + 1 = 3 (x - 5)

Expand

3 (x - 5) : 3 x - 15

2 x + 1 = 3 x - 15

Move

1

to the right side

2 x = 3 x - 16

Move

3 x

to the left side

- x = - 16

Divide both sides by

- 1

x = 16

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 16

\frac{x}{5 x + 4} = 3

\frac{10 + x}{( 1 - x ) ^{2}} = 5

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

a, g = - 4 b + \frac{10}{a}

\frac{27}{x} = - 3