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

The answer to 4/(x-2)=5 is x= 14/5

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4/(x-2)=5

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

x = \frac{14}{5}

Solution steps

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

Multiply both sides by

x - 2

4 = 5 (x - 2)

Switch sides

5 (x - 2) = 4

Divide both sides by

5

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

Move

2

to the right side

x = \frac{14}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{14}{5}

\frac{3}{x} = \frac{18}{9.7}

\frac{5}{r + 10} = \frac{7}{5}

\frac{12}{x ( x + 8 )} = 0

(8 x)^{- 3} = 64

x, \frac{1}{x} + x y = 0