What is the answer to 7-2/(x-4)=5 ?

The answer to 7-2/(x-4)=5 is x=5

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7-2/(x-4)=5

7 - \frac{2}{x - 4} = 5

x = 5

Solution steps

7 - \frac{2}{x - 4} = 5

Move

7

to the right side

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

Multiply both sides by

x - 4

- 2 = - 2 (x - 4)

Switch sides

- 2 (x - 4) = - 2

Divide both sides by

- 2

x - 4 = 1

Move

4

to the right side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 5

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

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

\frac{x - 7}{x - 9} = \frac{2}{x - 9}

68.4 = (\frac{46.3}{x}) \cdot 100

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