-2[4+(2c+3)]=5+2(2c+4)

Question

Please help! I am so confused! Please, go into as much detail as possible! Thank you!

Answer 1

First simplify the left side.

To do this, notice that the parenthesis on the left side are not needed.  Get rid of them.

Now, distribute the -2 so that we can remove the brackets.

Then, combine like terms (i.e. -8 + -6 = -14)

 

Next, simplify the right side.

Get rid of the parenthesis on the right side by distributing the 2.

Then, combine like terms (i.e. 5 + 8 = 13)

 

At this point you should have a variable term and constant term on each side of the equation.

Use the addition (or subtraction) property of equality to get the variable terms on one side and the constant terms on the other side.  

Finally, use the division property of equality to write the answer, c = -27/8