Question 917780
{{{ (1/5)(x+1) +(1/7)(x+1)=3/2 }}}


{{{((1*7)/(5*7))(x+1) +((1*5)/(7*5))(x+1)=3/2}}}


{{{(7/35)(x+1) +(5/35)(x+1)=3/2}}}


{{{((7 +5)/35)(x+1)=3/2}}}


{{{(12/35)(x+1)=3/2}}} ...cross multiply


{{{(x+1)= (3/2)(35/12) }}}

{{{x+1 =(3*35)/(2*12)}}}

{{{x+1 =105/24}}}

{{{x =105/24-1}}}

{{{x =105/24-24/24}}}

{{{x =(105-24)/24}}}

{{{x =81/24}}} ...divide by {{{3}}}

{{{x =27/8}}}