Question 1055130
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Solve by simplifying the expression on the left using basic rules of algebra, starting with the innermost parentheses and working out.<br>
{{{1-1/x=x/x-1/x=(x-1)/x}}}<br>
{{{1/((x-1)/x)=x/(x-1)}}}<br>
{{{1+x/(x-1)=(x-1)/(x-1)+x/(x-1)=(2x-1)/(x-1)}}}<br>
{{{1/((2x-1)/(x-1))=(x-1)/(2x-1)}}}<br>
Now we are ready to write and solve the equation using this simplified form of the expression.<br>
{{{(x-1)/(2x-1)=2}}}
{{{2(2x-1)=x-1}}}
{{{4x-2=x-1}}}
{{{3x=1}}}
{{{x=1/3}}}<br>
ANSWER: 1/3<br>