What is the answer to 5/(2c)-7= 1/(2c)+4 ?

The answer to 5/(2c)-7= 1/(2c)+4 is c= 2/11

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5/(2c)-7= 1/(2c)+4

\frac{5}{2 c} - 7 = \frac{1}{2 c} + 4

c = \frac{2}{11}

Decimal Notation

c = 0.18181 \dots

Solution steps

\frac{5}{2 c} - 7 = \frac{1}{2 c} + 4

Move

7

to the right side

\frac{5}{2 c} = \frac{1}{2 c} + 11

Multiply both sides by

2 c

5 = 1 + 22 c

Switch sides

1 + 22 c = 5

Move

1

to the right side

22 c = 4

Divide both sides by

22

c = \frac{2}{11}

Verify Solutions

Find undefined (singularity) points:

c = 0

Combine undefined points with solutions:

c = \frac{2}{11}

\frac{4}{x} + 10 = \frac{2}{3 x}

\frac{2 x}{x + 2} = 6 - \frac{4}{x + 2}

w, \frac{12 d s}{w} = c d

x^{- 8} - 17 x^{- 4} + 16 = 0

\frac{2}{t + 6} = \frac{3}{t - 1}

What is the answer to 5/(2c)-7= 1/(2c)+4 ?
The answer to 5/(2c)-7= 1/(2c)+4 is c= 2/11
Solve for c: 5/(2c)-7= 1/(2c)+4
The solution is c= 2/11