## Algebra 1

$x=14.7$
Let us start with the given equation: $\frac{2x}{7}+\frac{4}{5}=5$ We multiply by $35$, the least common denominator, to clear the fractions: $35(\frac{2x}{7}+\frac{4}{5}=5)$ We use the distributive property to multiply $35$ by each of the inner terms: $10x+28=175$ Next, we subtract $28$ from both sides: $10x+28-28=175-28$ We combine the like terms: $10x=147$ Finally, we divide by $10$ on both sides of the equation: $x=\frac{147}{10}=14.7$