Answer
4
Work Step by Step
$\frac{x}{2}$ +$\frac{1}{5}$=3 -$\frac{x}{5}$
subtract $\frac{1}{5}$ from both sides
$\frac{x}{2}$ +$\frac{1}{5}$ -$\frac{1}{5}$=3 -$\frac{x}{5}$ -$\frac{1}{5}$
write 3 like $\frac{15}{5}$
$\frac{x}{2}$ =$\frac{15}{5}$ -$\frac{1}{5}$ -$\frac{x}{5}$
$\frac{x}{2}$ =$\frac{14}{5}$ -$\frac{x}{5}$
add $\frac{x}{5}$ to both sides
$\frac{x}{2}$ +$\frac{x}{5}$ =$\frac{14}{5}$ -$\frac{x}{5}$ +$\frac{x}{5}$
$\frac{x}{2}$ +$\frac{x}{5}$ =$\frac{14}{5}$
LCD for 2 and 5 is 10
$\frac{x}{2}$$\times$$\frac{5}{5}$ + $\frac{x}{5}$$\times$$\frac{2}{2}$=$\frac{14}{5}$
$\frac{5x}{10}$+$\frac{2x}{10}$=$\frac{14}{5}$
$\frac{7x}{10}$=$\frac{14}{5}$
x$\times$$\frac{7}{10}$ =$\frac{14}{5}$
divide by $\frac{7}{10}$ both sides
x$\times$$\frac{7}{10}$$\div$$\frac{7}{10}$ =$\frac{14}{5}$$\div$$\frac{7}{10}$
x=$\frac{14}{5}$$\times$$\frac{10}{7}$
x=$\frac{14\times10}{5\times7}$
x=$\frac{140}{35}$
x=4
The solution is 4
check
$\frac{x}{2}$ +$\frac{1}{5}$=3 -$\frac{x}{5}$
$\frac{4}{2}$ +$\frac{1}{5}$=3 -$\frac{4}{5}$
2+$\frac{1}{5}$=3-$\frac{4}{5}$
$\frac{10}{5}$+$\frac{1}{5}$=$\frac{15}{5}$-$\frac{4}{5}$
$\frac{11}{5}$=$\frac{11}{5}$
