Answer
$n=1$
Work Step by Step
We are given that $\frac{n-3}{4}+\frac{n+5}{7}=\frac{5}{14}$. First, we can multiply each term by 28. Since this is the least common denominator of each term, this will eliminate all fractions from the equation.
$\frac{n-3}{4}\times28+\frac{n+5}{7}\times28=\frac{5}{14}\times28$
$7\times(n-3)+4\times(n+5)=10$
Use the distributive property to simplify the left side.
$7n-21+4n+20=10$
Group like terms on the left side.
$11n-1=10$
Add 1 to both sides.
$11n=11$
Divide both sides by 11.
$n=1$
