SOLUTION: I am doing a multi-step problem and can't seem to grasp the point here is the problem: {{{x/2+7=x/3+9}}} please show how you did it so I can understand better!!! Thank you

Algebra ->  Real-numbers -> SOLUTION: I am doing a multi-step problem and can't seem to grasp the point here is the problem: {{{x/2+7=x/3+9}}} please show how you did it so I can understand better!!! Thank you       Log On


   

Question 54989This question is from textbook Algebra 1
: I am doing a multi-step problem and can't seem to grasp the point here
is the problem:
x%2F2%2B7=x%2F3%2B9
please show how you did it so I can understand better!!!
Thank you so much! This question is from textbook Algebra 1

Answer by ntnk(54) About Me  (Show Source):
You can put this solution on YOUR website!
Read the "detailed explanation" section for the steps, but disregard everything after where its says 0=0, thats an error. It is reexplained below.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=12.
  • Graphical form: Equation x%2F2%2B7=x%2F3%2B9 was fully solved.
  • Text form: x/2+7=x/3+9 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2F2%2B7=x%2F3%2B9+%29
    For tutors: simplify_cartoon( x/2+7=x/3+9 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%2F2%2B7=highlight_red%28+x%2F3%2B9+%29.
Moved these terms to the left highlight_green%28+-x%2F3+%29,highlight_green%28+-9+%29
It becomes x%2F2%2B7-highlight_green%28+x%2F3+%29-highlight_green%28+9+%29=0.
Look at x%2F2%2Bhighlight_red%28+7+%29-x%2F3-highlight_red%28+9+%29=0.
Added fractions or integers together
It becomes x%2F2%2Bhighlight_green%28+-2+%29-x%2F3=0.
Look at x%2F2%2Bhighlight_red%28+-2+%29-x%2F3=0.
Moved -2 to the right of expression
It becomes x%2F2-x%2F3%2Bhighlight_green%28+-2+%29=0.
Look at x%2F2-x%2F3%2Bhighlight_red%28+-2+%29=0.
Removed extra sign in front of -2
It becomes x%2F2-x%2F3-highlight_green%28+2+%29=0.
Look at highlight_red%28+x%2F2+%29-highlight_red%28+x%2F3+%29-2=0.
Eliminated similar terms highlight_red%28+x%2F2+%29,highlight_red%28+-x%2F3+%29 replacing them with highlight_green%28+%281%2F2-1%2F3%29%2Ax+%29
It becomes highlight_green%28+%281%2F2-1%2F3%29%2Ax+%29-2=0.
Look at %28highlight_red%28+1%2F2+%29-highlight_red%28+1%2F3+%29%29%2Ax-2=0.
Added fractions or integers together
It becomes %28highlight_green%28+1%2F6+%29%29%2Ax-2=0.
Look at highlight_red%28+%28highlight_red%28+1%2F6+%29%29%2Ax+%29-2=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F6+%29
It becomes highlight_green%28+1+%29%2Fhighlight_green%28+6+%29%2Ax-2=0.
Look at highlight_red%28+1+%29%2F6%2Ax-2=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes x%2F6-2=0.
Look at highlight_red%28+x%2F6-2+%29=0.
Solved linear equation highlight_red%28+x%2F6-2=0+%29 equivalent to 0.166666666666667*x-2 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=12.

Universal Simplifier and Solver


Done!

Sorry, the solver messed up a bit at the end. The correct process is when you have x%2F6-2=0, you add two to both sides to get x%2F6=2. Then multiply both sides by six 6%2Ax%2F6=2%2A6 to get the final answer.
x=12