Question 148249
To figure this out, just manipulate the equation {{{6x=10}}}. That means multiply it or divide it by something. Anything.  Let's multiply it by 2.


{{{6x=10}}} times {{{2}}}={{{12x=20}}}.  That's equivalent.


Now let's divide it by 2.


{{{6x=10}}} divided by {{{2}}}={{{3x=5}}}. That's equivalent.


Now let's multiply it by 3.


{{{6x=10}}} times {{{3}}}={{{18x=30}}}.


So three equations that are equivalent to {{{6x=10}}} are {{{12x=20}}}, {{{3x=5}}}, and {{{18x=30}}}.


To make one of these not equivalent, simply add or subtract something to one side only.  Or multiply or divide one side only.  So take {{{6x=10}}} and for instance, add three to the left side. You get {{{6x=13}}}.  That's not equivalent. 


{{{6x=10}}} = {{{12x=20}}}, {{{3x=5}}}, and {{{18x=30}}}.
{{{6x=10}}} does not = {{{6x=13}}}.


By the way, x does equal 1.666666667. You were right. That's just not what the question was asking for.