What is the answer to solvefor x, 2/5 = 6/x-2 ?

The answer to solvefor x, 2/5 = 6/x-2 is x= 5/2

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Solve for x 2/5=6/x-2

solve for

x, \frac{2}{5} = \frac{6}{x} - 2

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

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

Multiply by LCM

2 x = 30 - 10 x

Move

10 x

to the left side

12 x = 30

Divide both sides by

12

x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{2}

x, \frac{1}{3} x = 6

\frac{- 56}{65}

r + (- 5 r)

(\frac{1}{( x ^{3} )})^{2}

x, 1 0^{- 3 x} \cdot 1 0^{x} = \frac{1}{10}

What is the answer to solvefor x, 2/5 = 6/x-2 ?
The answer to solvefor x, 2/5 = 6/x-2 is x= 5/2