Question

I really need help! How would I solve this? 4(x−6)−3=2(3−2x)−5

Answer 1

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