How do you solve #-9x + 7= 3x + 19#?

1 Answer
Sep 17, 2016

#x=-1#

Explanation:

#-9x+7=3x+19#

We could follow the normal process of moving the variables to the left and the numbers to the right, but in case notice that the term in x on the left is negative. Rather than ending up with a negative variable, it is easier to move the variables to the right and the numbers to the left. The method remains exactly the same, but doing this help to avoid errors with the signs.

#-9x+7 color(red)(+9x) color(lime)(-19)= 3x+19 color(red)(+9x) color(lime)(-19)#

#color(white)(xxxxxxx.)7-19 = 3x+9x#

#color(white)(xxxxxxxx.)-12 = 12x#

#color(white)(xxxxxxxxx.)-1 = x#