Question 56624
the Distributive Property (Fractions) Solve the equation:

{{{(5/7)(x+14)=15}}}
{{{(5/7)(x)+(5/7)(14)=15}}}
{{{(5/7)x+5(14/7)=15}}}
{{{(5/7)x+5(2)=15}}}
{{{(5/7)x+10=15}}}
{{{(5/7)x+10-10=15-10}}}
{{{(5/7)x=5}}}
{{{(7/5)(5/7)x=(7/5)(5)}}}
{{{x=7(5/5)}}}
{{{highlight(x=7)}}}
:
Check by substituting x=7 into the original equation and see if both sides equal:
{{{(5/7)(highlight(7)+14)=15}}}
{{{(5/7)(21)=15}}}
{{{5(21/7)=15}}}
{{{5(3)=15}}}
{{{15=15}}}  We're right!!!
Happy Calculating!!!