What is the answer to 6-5/x =4+3/x ?

The answer to 6-5/x =4+3/x is x=4

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6-5/x =4+3/x

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

x = 4

Solution steps

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

Move

6

to the right side

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

Multiply both sides by

x

- 5 = 3 - 2 x

Switch sides

3 - 2 x = - 5

Move

3

to the right side

- 2 x = - 8

Divide both sides by

- 2

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{2}{x + 2} + 2 = \frac{8}{x + 2}

\frac{6 x ^{2} + 2 x - 4}{3 x + 1} = 2 x

\frac{x - 1}{x + 2} = \frac{11}{19}

\frac{x}{25} = \frac{4}{x}

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