What is the answer to (12)/b-3= 6/b+4 ?

The answer to (12)/b-3= 6/b+4 is b= 6/7

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(12)/b-3= 6/b+4

\frac{12}{b} - 3 = \frac{6}{b} + 4

b = \frac{6}{7}

Solution steps

\frac{12}{b} - 3 = \frac{6}{b} + 4

Move

3

to the right side

\frac{12}{b} = \frac{6}{b} + 7

Multiply both sides by

b

12 = 6 + 7 b

Switch sides

6 + 7 b = 12

Move

6

to the right side

7 b = 6

Divide both sides by

7

b = \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{6}{7}

28 = \frac{2100 - x}{x} 100

\frac{1}{2 x + \frac{3}{2} x} = 4044

\frac{3492}{x} = 3.88

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

\frac{5}{2 x} = - \frac{1}{4}