SOLUTION: How do i solve this equation? 3g+9=15g-9

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Question 18929: How do i solve this equation?
3g+9=15g-9

Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: g=1.5.
  • Graphical form: Equation 3g%2B9=15g-9 was fully solved.
  • Text form: 3g+9=15g-9 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3g%2B9=15g-9+%29
    For tutors: simplify_cartoon( 3g+9=15g-9 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at 3%2Ag%2B9=highlight_red%28+15%2Ag-9+%29.
Moved these terms to the left highlight_green%28+-15%2Ag+%29,highlight_green%28+9+%29
It becomes 3%2Ag%2B9-highlight_green%28+15%2Ag+%29%2Bhighlight_green%28+9+%29=0.

Look at 3%2Ag%2Bhighlight_red%28+9+%29-15%2Ag%2Bhighlight_red%28+9+%29=0.
Added fractions or integers together
It becomes 3%2Ag%2Bhighlight_green%28+18+%29-15%2Ag=0.

Look at 3%2Ag%2Bhighlight_red%28+18+%29-15%2Ag=0.
Moved 18 to the right of expression
It becomes 3%2Ag-15%2Ag%2Bhighlight_green%28+18+%29=0.

Look at highlight_red%28+3%2Ag+%29-highlight_red%28+15%2Ag+%29%2B18=0.
Eliminated similar terms highlight_red%28+3%2Ag+%29,highlight_red%28+-15%2Ag+%29 replacing them with highlight_green%28+%283-15%29%2Ag+%29
It becomes highlight_green%28+%283-15%29%2Ag+%29%2B18=0.

Look at %28highlight_red%28+3+%29-highlight_red%28+15+%29%29%2Ag%2B18=0.
Added fractions or integers together
It becomes %28highlight_green%28+-12+%29%29%2Ag%2B18=0.

Look at %28highlight_red%28+-12+%29%29%2Ag%2B18=0.
Removed extra sign in front of -12
It becomes %28-highlight_green%28+12+%29%29%2Ag%2B18=0.

Look at highlight_red%28+%28-highlight_red%28+12+%29%29%2Ag+%29%2B18=0.
Remove unneeded parentheses around factor highlight_red%28+12+%29
It becomes -highlight_green%28+12+%29%2Ag%2B18=0.

Look at highlight_red%28+-12%2Ag%2B18+%29=0.
Solved linear equation highlight_red%28+-12%2Ag%2B18=0+%29 equivalent to -12*g+18 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: g=1.5.

Universal Simplifier and Solver


Done!

Hope this helps!