Question 867558
{{{3x/4 + 2/3 = 17/4}}} Start with the given equation.



{{{3x/4 = 17/4 - 2/3}}} Subtract {{{2/3}}} from both sides.



{{{3x/4 = (17/4)*(3/3) - 2/3}}} Multiply {{{17/4}}} by {{{3/3}}}



{{{3x/4 = 51/12 - 2/3}}} Multiply



{{{3x/4 = 51/12 - (2/3)*(4/4)}}} Multiply {{{2/3}}} by {{{4/4}}}



{{{3x/4 = 51/12 - 8/12}}} Multiply



{{{3x/4 = (51 - 8)/12}}} The denominators are the same, we can now subtract the numerators (and place that over the LCD 12)



{{{3x/4 = 43/12}}} Subtract



{{{3x*12 = 4*43}}} Cross multiply



{{{36x = 172}}} Multiply



{{{x = 172/36}}} Divide both sides by 36 to isolate x.



{{{x = 43/9}}} Reduce