Question 1109657
{{{4/3(6x-3) = 3/4(8x-12) }}}


Maybe you really mean, {{{(4/3)(6x-3) = (3/4)(8x-12) }}}?


{{{16(6x-3)=9(8x-12)}}}
Look at the factors on each side carefully,...



{{{16*3*(2x-1)=9*4*(2x-3)}}}


{{{4(2x-1)=3(2x-3)}}}


{{{8x-4=6x-9}}}


{{{cross(2x=13)}}}


{{{cross(x=13/2=6&1/2)}}}

-


EASIER THAN THAT:

{{{(4/3)(6x-3) = (3/4)(8x-12) }}}

{{{(4/3)*3(2x-1)=(3/4)*4(2x-3)}}}

{{{4(2x-1)=3(2x-3)}}}

{{{8x-4=6x-9}}}

{{{2x-4=-9}}}

{{{2x=-5}}}

{{{highlight(x=-5/2)}}}


-

You can figure out the last equation, and the first expression you asked for factorization shows Difference Of Squares.