Question 79618
2/3(6x+30)=x + 5(x+4)-2x

Expand the left hand side of the equation first.  This is easy since two thirds of six is four and two thirds of thirty is twenty.

4x + 20 = x + 5(x+4) - 2x

Expand the right hand side :

4x + 20 = x + 5x + 20 -2x

Collect up all the x terms on the right hand side :

4x + 20 = x + 5x - 2x + 20

So the total number of "x"'s on the right hand side is 1 + 5 -2 = 4

4x + 20 = 4x + 20

Hey !  Look at that ! You've got the same thing on both sides of the equation !

This means that it doesn't matter what value x is, the equation works for ALL values of x.  (ANSWER)