Question 169963
{{{-2x = 3x + 4}}}


The first step in solving an equation like this is to get all of the terms containing a variable on one side of the equation, leaving the constant terms on the other side.


So let's add {{{-3x}}} to both sides of the equation, thus:


{{{-2x-3x = 3x - 3x + 4}}}


{{{-2x -3x = -5x}}}, so we can write:


{{{ -5x = 3x - 3x + 4}}}


Also, {{{3x - 3x = 0}}}, so we can write:


{{{ -5x = 4}}}


The last step is to get rid of the coefficient on the variable.  In this case, we can divide both sides of the equation by {{{-5}}}


{{{ (-5)x/-5 = 4/(-5)}}}


Since we know that {{{(-5)/(-5) = 1}}} we can write:


{{{x=4/(-5)}}}, which can also be written {{{x=(-4)/5}}} or {{{x=-4/5}}}.  Any of which are acceptable representations of the solution, though the last one is probably what your instructor wants.