Question 152927
{{{7/(8+x)=17/24}}}
Multiply both sides by {{{24(8+x)}}} to get rid of the denominators.
{{{(7/(cross(8+x)))(24*(cross(8+x)))=(17/cross(24))(cross(24)(8+x))}}}
{{{7*24=17(8+x)}}}
{{{168=136+17x}}}
{{{32=17x}}}
{{{x=32/17}}}
Check your answer.
{{{7/(8+x)=17/24}}}
{{{7/(8+(32/17))=17/24}}}
{{{7/((136/17)+(32/17))=17/24}}}
{{{7/(168/17)=17/24}}}
{{{(7*17)/168=17/24}}}
{{{(7*17)/(7*24)=17/24}}}
{{{17/24=17/24}}}
Your answer leads to a true statement.
It's a good answer.