How do you solve #16-x = 6x + 24#?

1 Answer
Jan 14, 2016

Answer:

#x=-(8)/(7)#

Explanation:

Steps insolving the algebraic equation:

  1. Combine like terms
    #16-24=6x + x#
  2. Simplify
    #-8=7x#
  3. Isolate #x# by dividing both sides by #7#
    #-(8)/(7)=(cancel7x)/(cancel7)#
  4. The value of #x# is
    #x=-(8)/(7)#
  5. Checking
    #16-x=6x+24#, plug in the value of x
    #16-(-(8)/(7))=6(-(8)/(7))+24#
    #16+(8)/(7)=-(48)/(7) +24#
    #16 + 1(1)/(7)=-6(6)/(7) + 24#
    #17(1)/(7)=-6(6)/(7)+23(7)/(7)#
    #17(1)/(7)=17(1)/(7)#