Question 51421
You need to get like terms on the same side of the equation; i.e., get the 'x' terms all on one side and the scalars on the opposite side.  So, let's start by adding 1 to both sides of the equation:  {{{8x - 1 + 1 = 23 - 4x + 1}}}.  That equates to:  {{{8x = 24 - 4x}}}.  Next, let's add 4x to both sides thusly:  {{{8x + 4x = 24 - 4x + 4x}}}, which simplifies to:  12x = 24.  To solve for x, we have to divide both sides by 12:  {{{ 12x / 12 = 24/12 }}}, and that simplifies to {{{x=2}}}.  To check our work, we substitute 2 into the original equation.  This produces:  {{{8*2-1=23-4*2}}}, which equates to {{{16-1=23-8}}}, which simplifies to 15=15.  Because 15=15 is a true statement, that proves our answer of {{{x=2}}} is correct.