i need a step by step answer to 6(c+4)=4c-18 and i don't know how to do equations with problems on both sides!?

Question

i know how to do equations with problems on only one side, like 6n-3=20(example only) but i was sick today and i still got homework, so i really need help on how to do this! it would be nice if u could answer a.s.a.p.

Answer 1

6(c+4)=4c-18 -expand using distributive property

6c+24= 4c-18 -now we want to isolate the variable c. So we'll move 4c to the left of the equation and 24 to the right

6c-4c= -18-24

2c = -42

c= -21

Answer 2

ok here we go..



first write the equation



6(c + 4) = 4c - 18 ---- now your gonna distribute the 6 to the numbers in the parentheses by multiplying it



6c + 24 = 4c - 18 ----- now you wanna take the 4c and get rid of it on the right side... you do this by adding its opposite to both sides... so the opposite of 4c is -4c so...



6c + 24 = 4c - 18

+(-4c) (-4c)

2c + 24 = -18 ----- remember it is now -18 because the subtraction sign does not disappear so look at it as 0 - 18



now you have to get rid of the 24... so put its opposite... -24... you know 24 is positive because there is no subtraction sign directly in front of it but a positive sign ( + ) or the addition symbol



2c + 24 = -18

+ (-24) (-24)

2c = -42 --- now to get rid of a coefficient or a number next to a letter (meaning the number mutliplied by the letter) you do the opposite of multiplication... division



2c = -42

2c/2 = -42/2

c = -21



now to check your work you can do this



input the number you found... and see if both sides equal out



6(-21 + 4) = 4(-21) - 18 ---- distribute

-126 + 24 = -84 - 18 ---- solve

-102 = -102

if the final answers equal each other then the answer you got is correct

Answer 3

6(c+4) = 4c - 18



First, distribute the six so that you get



6c + 24 = 4c - 18.



Combine like terms. Subtract 4c from the right side of the = so that it cancels out, so that you get

6c + 24 = 4c -18

-4c ______-4c



2c + 24 = -18



Subtract twenty-four, like with 4c above, so that you get:



2c = -42



Divide by two to isolate the c variable.



2c/2 = -42/2



c = -21



or you can use

6(c+4)=4c-18 -expand using distributive property

6c+24= 4c-18 -now we want to isolate the variable c. So we'll move 4c to the left of the equation and 24 to the right

6c-4c= -18-24

2c = -42

c= -21

Answer 4

6(c+4) = 4c - 18



First, distribute the six so that you get



6c + 24 = 4c - 18.



Combine like terms. Subtract 4c from the right side of the = so that it cancels out, so that you get

6c + 24 = 4c -18

-4c ______-4c



2c + 24 = -18



Subtract twenty-four, like with 4c above, so that you get:



2c = -42



Divide by two to isolate the c variable.



2c/2 = -42/2



c = -21

Answer 5

6(c+4)=4c-18



1. Look at the left side, and multiply that equation out.



6c + 24 = 4c-18



2. Now you want to bring the values with the c's together and the other numbers together.



6c + 24 = 4c-18

-4c -4c

---------------------------

2c + 24 = -18

- 24 = -24

-------------------------

2c = -42

/2 = /2



c= -21