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

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

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2/5 = 6/x-2

\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}

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

\frac{2 x - 3}{x + 1} = \frac{2}{5}

\frac{12}{x} = 0

\frac{12}{x} = 4

\frac{4}{t - 3} = \frac{6}{t + 3}