x-8 ..x plus 4
___ = ________
3 .......2
To simplify the given expression, we need to find a common denominator for the fractions. In this case, the least common multiple (LCM) of 3 and 2 is 6.
So, we will rewrite the fractions with the common denominator of 6.
The first fraction will be multiplied by 2/2 to have the denominator of 6, and the second fraction will be multiplied by 3/3 to have the denominator of 6.
So, the expression becomes:
(2x - 16)/6 ...... (3x + 12)/6
Now, we can combine the fractions since they have the same denominator:
(2x - 16 + 3x + 12)/6
Simplifying further, we get:
(5x - 4)/6
Therefore, the simplified expression is (5x - 4)/6.