What is the answer to 0=(-2)/(x-4)+3 ?

The answer to 0=(-2)/(x-4)+3 is x= 14/3

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0=(-2)/(x-4)+3

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

x = \frac{14}{3}

Decimal Notation

x = 4.66666 \dots

Solution steps

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

Move

3

to the left side

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

Simplify

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

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

Multiply both sides by

x - 4

- 3 (x - 4) = - 2

Divide both sides by

- 3

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

Move

4

to the right side

x = \frac{14}{3}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{14}{3}

\frac{x - 9}{2} + 2 = \frac{x + 3}{x}

\frac{6}{8} = \frac{12}{x}

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

a = \frac{( f ( 4 ) + f ( - 2 ) )}{( f ( 16 ) )}

\frac{3}{4 ( 48 - 16 x )} = 4 (4 + 2 x)