Question 51605
Using order of operations, we expand the equation to {{{2x+10-7=3x-6}}}, which simplifies to {{{2x+3=3x-6}}}.  Adding 6 to both sides produces {{{2x+3+6=3x-6+6}}}, which simplifies to {{{2x+9=3x}}}.  Now subtract {{{2x}}} from both sides:  {{{2x+9-2x=3x-2x}}}, which simplifies to {{{9=x}}}.  To check it, substitute 9 in for x in the original equation:  {{{2(9+5)-7=3(9-2)}}}, which simplifies to {{{2*14-7=3*7}}} and that further reduces to {{{28-7=21}}}, and finally {{{21=21}}}, which is a true statement.  Because that is a true statement, that means our answer of {{{x=9}}} is correct.