What is the answer to 8/(3c-2)= 2/(3c-12) ?

The answer to 8/(3c-2)= 2/(3c-12) is c= 46/9

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8/(3c-2)= 2/(3c-12)

\frac{8}{3 c - 2} = \frac{2}{3 c - 12}

c = \frac{46}{9}

Decimal Notation

c = 5.11111 \dots

Solution steps

\frac{8}{3 c - 2} = \frac{2}{3 c - 12}

Cross multiply

24 c - 96 = 6 c - 4

Move

96

to the right side

24 c = 6 c + 92

Move

6 c

to the left side

18 c = 92

Divide both sides by

18

c = \frac{46}{9}

Verify Solutions

Find undefined (singularity) points:

c = \frac{2}{3}, c = 4

Combine undefined points with solutions:

c = \frac{46}{9}

\frac{x}{9} = \frac{8}{2 x}

\frac{4}{x} = \frac{18}{5 x} + 2

\frac{y}{y - 4} - 6 = \frac{4}{y - 4}

\frac{1}{x - 3} + 5 = \frac{26}{x - 3}

2 x + 6 = \frac{- 5}{x}

What is the answer to 8/(3c-2)= 2/(3c-12) ?
The answer to 8/(3c-2)= 2/(3c-12) is c= 46/9
Solve for c: 8/(3c-2)= 2/(3c-12)
The solution is c= 46/9