What is the answer to 4+6/(x-5)= 2/(x-5) ?

The answer to 4+6/(x-5)= 2/(x-5) is x=4

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4+6/(x-5)= 2/(x-5)

4 + \frac{6}{x - 5} = \frac{2}{x - 5}

x = 4

Solution steps

4 + \frac{6}{x - 5} = \frac{2}{x - 5}

Multiply both sides by

x - 5

4 (x - 5) + 6 = 2

Move

6

to the right side

4 (x - 5) = - 4

Divide both sides by

4

x - 5 = - 1

Move

5

to the right side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 4

\frac{- 4}{x - 4} = 1 - \frac{2}{x + 8}

\frac{x}{( x + 3 ) ( x + 1 )} = 0

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

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

\frac{x + 1}{x} = 5

What is the answer to 4+6/(x-5)= 2/(x-5) ?
The answer to 4+6/(x-5)= 2/(x-5) is x=4
Solve for x: 4+6/(x-5)= 2/(x-5)
The solution is x=4