SOLUTION: 3a+2(a-1)=7a-4(a+2)

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Question 382792: 3a+2(a-1)=7a-4(a+2)
Answer by ichudov(507) 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=-3.
  • Graphical form: Equation 3a%2B2%2A%28a-1%29=7a-4%2A%28a%2B2%29 was fully solved.
  • Text form: 3a+2*(a-1)=7a-4*(a+2) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3a%2B2%2A%28a-1%29=7a-4%2A%28a%2B2%29+%29
    For tutors: simplify_cartoon( 3a+2*(a-1)=7a-4*(a+2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2Aa%2B2%2A%28a-1%29=highlight_red%28+7%2Aa-4%2A%28a%2B2%29+%29.
Moved these terms to the left highlight_green%28+-7%2Aa+%29,highlight_green%28+4%2A%28a%2B2%29+%29
It becomes .
Look at highlight_red%28+3%2Aa+%29%2B2%2A%28a-1%29-highlight_red%28+7%2Aa+%29%2B4%2A%28a%2B2%29=0.
Eliminated similar terms highlight_red%28+3%2Aa+%29,highlight_red%28+-7%2Aa+%29 replacing them with highlight_green%28+%283-7%29%2Aa+%29
It becomes highlight_green%28+%283-7%29%2Aa+%29%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0.
Look at %28highlight_red%28+3+%29-highlight_red%28+7+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0.
Added fractions or integers together
It becomes %28highlight_green%28+-4+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0.
Look at %28highlight_red%28+-4+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0.
Removed extra sign in front of -4
It becomes %28-highlight_green%28+4+%29%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0.
Look at highlight_red%28+%28-highlight_red%28+4+%29%29%2Aa+%29%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes -highlight_green%28+4+%29%2Aa%2B2%2A%28a-1%29%2B4%2A%28a%2B2%29=0.
Look at -4%2Aa%2Bhighlight_red%28+2%2A%28a-1%29+%29%2B4%2A%28a%2B2%29=0.
Expanded term 2 by using associative property on %28a-1%29
It becomes -4%2Aa%2Bhighlight_green%28+2%2Aa+%29-highlight_green%28+2%2A1+%29%2B4%2A%28a%2B2%29=0.
Look at -4%2Aa%2B2%2Aa-highlight_red%28+2+%29%2Ahighlight_red%28+1+%29%2B4%2A%28a%2B2%29=0.
Multiplied numerator integers
It becomes -4%2Aa%2B2%2Aa-highlight_green%28+2+%29%2B4%2A%28a%2B2%29=0.
Look at -4%2Aa%2B2%2Aa-highlight_red%28+2+%29%2B4%2A%28a%2B2%29=0.
Moved -2 to the right of expression
It becomes -4%2Aa%2B2%2Aa%2B4%2A%28a%2B2%29-highlight_green%28+2+%29=0.
Look at -highlight_red%28+4%2Aa+%29%2Bhighlight_red%28+2%2Aa+%29%2B4%2A%28a%2B2%29-2=0.
Eliminated similar terms highlight_red%28+-4%2Aa+%29,highlight_red%28+2%2Aa+%29 replacing them with highlight_green%28+%28-4%2B2%29%2Aa+%29
It becomes highlight_green%28+%28-4%2B2%29%2Aa+%29%2B4%2A%28a%2B2%29-2=0.
Look at %28-highlight_red%28+4+%29%2Bhighlight_red%28+2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0.
Look at %28highlight_red%28+-2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Aa%2B4%2A%28a%2B2%29-2=0.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Aa+%29%2B4%2A%28a%2B2%29-2=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Aa%2B4%2A%28a%2B2%29-2=0.
Look at -2%2Aa%2Bhighlight_red%28+4%2A%28a%2B2%29+%29-2=0.
Expanded term 4 by using associative property on %28a%2B2%29
It becomes -2%2Aa%2Bhighlight_green%28+4%2Aa+%29%2Bhighlight_green%28+4%2A2+%29-2=0.
Look at -2%2Aa%2B4%2Aa%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29-2=0.
Multiplied numerator integers
It becomes -2%2Aa%2B4%2Aa%2Bhighlight_green%28+8+%29-2=0.
Look at -2%2Aa%2B4%2Aa%2Bhighlight_red%28+8+%29-highlight_red%28+2+%29=0.
Added fractions or integers together
It becomes -2%2Aa%2B4%2Aa%2Bhighlight_green%28+6+%29=0.
Look at -highlight_red%28+2%2Aa+%29%2Bhighlight_red%28+4%2Aa+%29%2B6=0.
Eliminated similar terms highlight_red%28+-2%2Aa+%29,highlight_red%28+4%2Aa+%29 replacing them with highlight_green%28+%28-2%2B4%29%2Aa+%29
It becomes highlight_green%28+%28-2%2B4%29%2Aa+%29%2B6=0.
Look at %28-highlight_red%28+2+%29%2Bhighlight_red%28+4+%29%29%2Aa%2B6=0.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Aa%2B6=0.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Aa+%29%2B6=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Aa%2B6=0.
Look at highlight_red%28+2%2Aa%2B6+%29=0.
Solved linear equation highlight_red%28+2%2Aa%2B6=0+%29 equivalent to 2*a+6 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=-3.

Universal Simplifier and Solver


Done!