Question 84332
I corrected what I thought was a type-o, if this isn't what you meant, let me know.

EQUATIONS WITH RATIONAL EXPRESSIONS

WRITE LCM OF THE DENOMINATORS. THEN SOLVE EACH EQUATIONS. (NO DENOMINATOR EQUALS ZERO).

1/3x + 1/4 = 1/x  {x=8/3}
{{{1/3x+1/4=1/x}}}
{{{12x(1/3x)+12x(1/4)=12x(1/x)}}}
{{{12x/3x+12x/4=12x/x}}}
{{{4+3x=12}}}
{{{4-4+3x=12-4}}}
{{{3x=8}}}
{{{3x/3=8/3}}}
{{{x=8/3}}}
    
LCM of denominators: 3x*4=12x
Happy Calculating!!!