SOLUTION: Problem: 6 times julie's age is decreased by 112, the result is twice julie's age. How old is julie? this is how i started: 6x - 112 = 2x 3x - 112 = x now what? do i sub

Algebra ->  Equations -> SOLUTION: Problem: 6 times julie's age is decreased by 112, the result is twice julie's age. How old is julie? this is how i started: 6x - 112 = 2x 3x - 112 = x now what? do i sub      Log On


   



Question 226114: Problem: 6 times julie's age is decreased by 112, the result is twice julie's age. How old is julie?
this is how i started:
6x - 112 = 2x
3x - 112 = x
now what? do i subract 3 from each side or divide each side by 3? Have I left out something in the equation?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Problem: 6 times julie's age is decreased by 112, the result is twice julie's age. How old is julie?
this is how i started:
:
This is correct equation
6x - 112 = 2x
3x - 112 = x
However if you want to simplify, you have to divide each term by 2, should be:
3x - 56 = x
:
we want to perform operations that will get the unknown (x) on the left and the numerical values on the right
:
subtract x from both sides
3x - x - 56 = 0
add 56 to each side
2x = 56
:
Divide both sides by 2
x = 56%2F2
x = 28 yrs old
:
:
now check the solution in the original statement
" 6 times julie's age is decreased by 112, the result is twice julie's age."
6(28) - 112 = 2(28)
168 - 112 = 56
56 = 56, confirms the solution