What is the answer to 0.125=(b+6)/(b-8) ?

The answer to 0.125=(b+6)/(b-8) is b=-8

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0.125=(b+6)/(b-8)

0.125 = \frac{b + 6}{b - 8}

b = - 8

Solution steps

0.125 = \frac{b + 6}{b - 8}

Multiply both sides by

b - 8

0.125 (b - 8) = b + 6

Multiply both sides by

1000

125 (b - 8) = 1000 b + 6000

Expand

125 (b - 8) : 125 b - 1000

125 b - 1000 = 1000 b + 6000

Move

1000

to the right side

125 b = 1000 b + 7000

Move

1000 b

to the left side

- 875 b = 7000

Divide both sides by

- 875

b = - 8

Verify Solutions

Find undefined (singularity) points:

b = 8

Combine undefined points with solutions:

b = - 8

\frac{30}{x} = \frac{8}{12}

\frac{606}{x - 97} = 8

36 (\frac{n}{n + 1}) = n^{2} + n

\frac{( 2 x - 1 )}{( 3 x - 3 )} - 5 x = 0

\frac{5}{10} = \frac{7}{x}

What is the answer to 0.125=(b+6)/(b-8) ?
The answer to 0.125=(b+6)/(b-8) is b=-8
Solve for b: 0.125=(b+6)/(b-8)
The solution is b=-8