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

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

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2/5 = 6/b-2

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

b = \frac{5}{2}

Decimal Notation

b = 2.5

Solution steps

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

Multiply by LCM

2 b = 30 - 10 b

Move

10 b

to the left side

12 b = 30

Divide both sides by

12

b = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{5}{2}

t, R = \frac{C - S}{t}

\frac{1}{x - 4} = 0

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

b, 6 = \frac{f}{b} - g^{2}

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