Question 184966
Start by changing 10 + 1/2 to a improper fraction.
{{{30/x=50/x+10+1/2}}}
{{{30/x=50/x+10*(2/2)+1/2}}}
{{{30/x=50/x+(20/2)+1/2}}}
{{{30/x=50/x+highlight(21/2)}}}
Then, multiply both sides of the equation by x, to get x out of the denominator.
{{{x*(30/x)=x*(50/x+21/2)}}}
Distribute x on the right hand side of the equation.
{{{x*(30/x)=(x*50/x+x*21/2)}}} 
{{{cross(x)*(30/cross(x))=(cross(x)*50/cross(x)+x*21/2)}}} 
{{{30=50+21x/2}}} 
Subtract 50 from each side.
{{{30-highlight(50)=50-highlight(50)+21x/2}}} 
{{{-20=21x/2}}} 
Multiply both sides by 2.
{{{-20*highlight(2)=21x*highlight(2)/2}}} 
{{{-40=21x}}} 
Divide by both sides by 21.
{{{-40/21=21x/21}}} 
{{{highlight(x=-40/21)}}}