Step by step
The question
Question: solve 2x/3 = 8.
1 Remove the fraction
The bottom number is 3.
A fraction means divide: 2x/3 is 2x divided by 3.
To remove divided by 3, we multiply by 3.
We multiply every part by 3, not only the fraction.
Each whole side is times 3, so 8 is times 3 too.
We do it on both sides.
Why both sides?
The = sign means both sides are the same amount.
If we change only one side, they are not the same any more.
3 divided by 3 is 1.
The bottom is gone.
We write it again, without the crossed-out parts.
3 times 8 is 24.
No more fractions!
2 Remove the 2
2x means 2 times x.
We want just x.
To remove times 2, we divide by 2.
We do it on both sides, so they stay equal.
2 divided by 2 is 1.
So just x is left.
24 divided by 2 is 12.
So x = 12!
3 Check
Let's check: put 12 in place of x.
We get 8, the same as the right side.
So x = 12 is right!
4 Type it in
The answer box takes 5 characters.
12 has 2.
It fits.
We type 12.
Let's look back.
First: remove the fraction.
Then: remove the 2.
Then: check.
Last: type it in.