Solve (5-x)/2= 2x-7

Our first objective is to have all the x terms on one side of the equation and all the non x terms on the other side. The division of the left member of the equation by 2 is our first problem to solve. We have to multiply both members by 2 in order to respect the "equation". This leads to the (2x-7) being multiplied by 2 which gives 4x-14. We now have the corresponding equation : 5-x=4x-14By adding x and 14 on both sides we get : 19=5x which fulfills our initial objective, ( x terms on side and non x terms on the other). We isolate the x by dividing by 5 on both sides which gives x=19/5.