How do you solve #2n+12=5n #?

1 Answer
Nov 19, 2015

Following basic rules for manipulating equations, you get
#n=4#

Explanation:

Given any equation, here are some things you can do to both sides that will keep the equation valid:

  • add or subtract the same amount to/from both sides
  • multiply both sides by the same amount
  • divide both sides by the same amount if the amount is not #0#
  • exchange the two sides

Given the above rules:
We can subtract #2n# from both sides of #2n+12=5n#
to get
#color(white)("XXX")12=3n#

We can exchange the sides of #12=3n#
to get
#color(white)("XXX")3n=12#

We can divide both sides of #3n=12# by #3#
to get
#color(white)("XXX")n=4#