SOLUTION: Please help me solve this equation, I need to find the value of "x". 3(a-3) = 2(a+4)

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Question 939050: Please help me solve this equation, I need to find the value of "x".
3(a-3) = 2(a+4)
Answer by srinivas.g(540) 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: a=17.
  • Graphical form: Equation 3%2A%28a-3%29=2%2A%28a%2B4%29 was fully solved.
  • Text form: 3*(a-3)=2*(a+4) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%28a-3%29=2%2A%28a%2B4%29+%29
    For tutors: simplify_cartoon( 3*(a-3)=2*(a+4) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%28a-3%29=highlight_red%28+2%2A%28a%2B4%29+%29.
Moved these terms to the left highlight_green%28+-2%2A%28a%2B4%29+%29
It becomes 3%2A%28a-3%29-highlight_green%28+2%2A%28a%2B4%29+%29=0.
Look at highlight_red%28+3%2A%28a-3%29+%29-2%2A%28a%2B4%29=0.
Expanded term 3 by using associative property on %28a-3%29
It becomes highlight_green%28+3%2Aa+%29-highlight_green%28+3%2A3+%29-2%2A%28a%2B4%29=0.
Look at 3%2Aa-highlight_red%28+3+%29%2Ahighlight_red%28+3+%29-2%2A%28a%2B4%29=0.
Multiplied numerator integers
It becomes 3%2Aa-highlight_green%28+9+%29-2%2A%28a%2B4%29=0.
Look at 3%2Aa-highlight_red%28+9+%29-2%2A%28a%2B4%29=0.
Moved -9 to the right of expression
It becomes 3%2Aa-2%2A%28a%2B4%29-highlight_green%28+9+%29=0.
Look at 3%2Aa-highlight_red%28+2%2A%28a%2B4%29+%29-9=0.
Expanded term -2 by using associative property on %28a%2B4%29
It becomes 3%2Aa-highlight_green%28+2%2Aa+%29-highlight_green%28+2%2A4+%29-9=0.
Look at 3%2Aa-2%2Aa-highlight_red%28+2+%29%2Ahighlight_red%28+4+%29-9=0.
Multiplied numerator integers
It becomes 3%2Aa-2%2Aa-highlight_green%28+8+%29-9=0.
Look at 3%2Aa-2%2Aa-highlight_red%28+8+%29-highlight_red%28+9+%29=0.
Added fractions or integers together
It becomes 3%2Aa-2%2Aa%2Bhighlight_green%28+-17+%29=0.
Look at 3%2Aa-2%2Aa%2Bhighlight_red%28+-17+%29=0.
Removed extra sign in front of -17
It becomes 3%2Aa-2%2Aa-highlight_green%28+17+%29=0.
Look at highlight_red%28+3%2Aa+%29-highlight_red%28+2%2Aa+%29-17=0.
Eliminated similar terms highlight_red%28+3%2Aa+%29,highlight_red%28+-2%2Aa+%29 replacing them with highlight_green%28+%283-2%29%2Aa+%29
It becomes highlight_green%28+%283-2%29%2Aa+%29-17=0.
Look at highlight_red%28+%283-2%29+%29%2Aa-17=0.
Remove extraneous '1' from product highlight_red%28+%283-2%29+%29
It becomes a-17=0.
Look at highlight_red%28+a-17+%29=0.
Solved linear equation highlight_red%28+a-17=0+%29 equivalent to a-17 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=17.

Universal Simplifier and Solver


Done!