Question 9270
{{{(1/3)(x-4)}}}={{{(1/2)(x-6)}}} ............multiply both sides by 6


(6){{{(1/3)(x-4)}}}=(6){{{(1/2)(x-6)}}}       ...................reduce


{{{(2)(x-4)}}}={{{(3)(x-6)}}}    ............use the distributive property


2x-(2)(4)=3x-(3)(6)


2x-8=3x-18                  ............subtract 2x from both sides


(2x-8)-2x=(3x-18)-2x


-8=x-18       .........................add 18 to both sides


-8+18=x-18+18
10=x