Hey Janie -- sometimes the formula "looks better" by "putting the negative element on the other side":

5 (x + 3) - (4x - 6) = -4 ... 5(x +3) = (4x -6) -4 ... 5x +15 = 4x -10 ... notice a
positive "x" cannot work -- the "5x" side would always "outrun" the "4x" side ...
only the -25 makes sense ... Best wishes, ma'am :)

Dan M. | Math, Physics and Chemistry TutorMath, Physics and Chemistry Tutor

0

Janie, I agree with Raffi on his approach and technique in solving the problem. When you tried to check for

x=-25 and did not get it to balance, it is likely that you erred when you distributed the negative sign through the second term. See how your math compares to this:

if x=-25 then 5(x+3)-(4x-6)=-4 becomes 5( -25+3) - ( 4( -25) -6) = -4

5( -22) - ( -100 -6) = -4

-110 - ( -106) = -4

-110 + 106 = -4

-4 = -4

If your difficulty was in distributing the negative sign through that second term, I would encourage you to practice some more problems with that feature! good luck