First, we have to distribute the 4 outside the parenthesis on the left side.
Remember distributing just means multiplying.
So it would be,
4 times x and 4 times -6
That would equal
4x-24-3=2(3-2x)-5
Now the other side. For this side we distribute the 2 since there is a 2 outside of the parenthesis.
That would equal
2 times 3 and 2 times 2x
Which is 6-4x
We put this whole equation together so it would be
4x-24-3=6-4x-5
We combine the like terms so in this case it would be
4x-28=1-4x
Now here notice how I only added the numbers without x. This is because they were like terms meaning I could add, subtract or multiply, or divide them, but however the number with x are not like terms so therefore we cannot add, subtract, multiply or divide them.
Now we can bring the variables to one side in this case I will bring it to the left side.
So that would be adding 4x to the left side.
So that would be
8x-28=1
Notice how I added the 4x to the 4x I did this because they were like terms.
After this we can now add 28 to both sides.
So that would be 8x=29
Now we divided 8 on both sides so it would be
x=29/8
Or if we simplifies it could be
x=7/2 or x=3.5 or x= 3 1/2