Question 99463
{{{8=4(3c+5)}}}
First simplify the equation by removing the parentheses.
To do this multiply 4 times 3c and then 4 times 5.
Now the equation looks like this:
{{{8=12c+20}}}
Next move all terms with the c variable to one side of the equal sign
and all terms without a variable to the opposite side of the equal sign.
This is done by subtracting 20 from both sides of the equal sign.
{{{8-20=12c+20-20}}}
8-20 equals -12 and 20-20 equals zero so now we have this:
{{{-12=12c}}}
Now to solve for c divide both sides of the equal sign by 12
{{{(-12)/12=(12c)/(12)}}}
-12 divided by 12 equals -1 and 12c divided by 12 equals c
so {{{c = -1}}}
To check the answer replace c with -1 in the original equation:
{{{8=4(3c+5)}}}
{{{8=4(3(-1)+5)}}}
{{{8=4(-3+5)}}}
{{{8=4(+2)}}}
{{{8=8}}}