How do you solve 12-23c=7(9-c)?

Question

How do you solve 12-23c=7(9-c)?

Answer 1

Calculator Output

Simplifying

12 + -23c = 7(9 + -1c)

12 + -23c = (9 * 7 + -1c * 7)

12 + -23c = (63 + -7c)

Solving

12 + -23c = 63 + -7c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '7c' to each side of the equation.

12 + -23c + 7c = 63 + -7c + 7c

Combine like terms: -23c + 7c = -16c

12 + -16c = 63 + -7c + 7c

Combine like terms: -7c + 7c = 0

12 + -16c = 63 + 0

12 + -16c = 63

Add '-12' to each side of the equation.

12 + -12 + -16c = 63 + -12

Combine like terms: 12 + -12 = 0

0 + -16c = 63 + -12

-16c = 63 + -12

Combine like terms: 63 + -12 = 51

-16c = 51

Divide each side by '-16'.

c = -3.1875

Simplifying

c = -3.1875

Answer 2

You would put the c's on one side and the numbers on the other side. But before you can do this you have to distribute the 7 to 9 and -c. Then it'll look like this: 12-23c=63-7c

Then you would want to put the c's on the left and the numbers on the right. It should look like this: -23c+7c=63-12

Combine the variables and the numbers.     -16c=49

Divide each side by -16, so     c=-3 1/16

Hope this helped!!

Answer 3

12-23c = 63 - 7c

-51 = 16c

-51/16 = c

Answer 4

12 - 23c = 7(9 - c)

12 - 23c = 63 - 7c

16c = - 51

c = - 3.1875

Answer: c = - 3.1875

Proof:

12 - 23(- 3.1875) = 7(9 - [- 3.1875])

12 + 73.3125 = 7(9 + 3.1875)

85.3125 = 7(12.1875)

85.3125 = 85.3125