Simplify the expression: 14/(3x) + (x+5)/(3x)
We have 2 fractions with a common denominator 0f 3x.
14/(3X) + (X+5)/(3X)=(14 + (X+5)) / 3X
= (14 + X + 5) / 3X = (X+19) / 3X.
Set the expression equal to zero, then subtract (x+5)/(3x) from both sides:
14/(3x)=-(x+5)/(3x)
Then multiply 3x to both sides to eliminate that value completely. So you're left with:
14=(x+5)
Then just solve for x.
To simplify the expression (14/(3x)) + ((x+5)/(3x)), we need to find a common denominator for both terms. The common denominator is 3x since both terms have a denominator of 3x.
To add fractions with the same denominator, we keep the denominator the same and add the numerators.
The numerator of the first fraction (14/(3x)) remains 14, and the numerator of the second fraction ((x+5)/(3x)) remains (x+5).
Combining the numerators, we have 14 + (x+5).
Simplifying this expression, we get 14 + x + 5.
Finally, we can combine like terms, 14 + 5 = 19.
So the simplified expression is 19 + x.