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solve for c- 14=c/5

It is diving one-step equations.

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4 Answers

-14=c/5

Make a proportion

-14/1 =c/5

Cross multiply -14 x 5 and divide by 1

-70 /1 = -70

c = -70

c-14=c/5

Multiply both sides by 5       5(c - 14) = c/5*5

5 (c - 14) = c      (because c divided by 5 multiplied by 5 is just c, kind like

c + 5 - 5 = c)

Distribute 5 to get:           5c - 5(14) = c

5c - 70 = c

subtract 5c on both sides to get all the c's together:     5c - 70 = c

-5c          -5c

0 - 70 = -4c

- 70 = -4c

Divide by -4:                  -70/-4 = -4c/-4

17.5 = 1c         (Remember a negative divided by negative = a positive)

17.5 = c

If the equation is 14 = c/5, fist isolate c by multiplying both sides of the equation by the demoninator of the fraction, 5 in this case.

c/5*5 = c/5 * 5/1

c/5* 5/1= 5c/5 = 1c =c

The right side is now c.

Not sure if the 14 is negative but we'll say it is.  Multiplying the left side by 5 we get:

(-14)(5)=-70.  (if the 14 were positive your solution would be positive also).

Substitute -70 for c in the original equation:  -14 = -70/5 ... it does!

c-14=c/5

=> 5c-14*5=c

=>4c=14*5

=>c=(14*5)/4

=> c= 17.5