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

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

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

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

x = 6

Solution steps

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

Multiply both sides by

x - 3

2 x + 3 = 5 (x - 3)

Expand

5 (x - 3) : 5 x - 15

2 x + 3 = 5 x - 15

Move

3

to the right side

2 x = 5 x - 18

Move

5 x

to the left side

- 3 x = - 18

Divide both sides by

- 3

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 6

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

8 = \frac{10}{x}

x^{- 3} - x = 0

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

\frac{25 - x ^{2}}{x ^{2} + 5 x} = 0