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)   (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 was fully solved.
  • Text form: 3a+2*(a-1)=7a-4*(a+2) simplifies to 0=0
  • Cartoon (animation) form:
    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 .
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 .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -4
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes .
Look at .
Expanded term 2 by using associative property on %28a-1%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Moved -2 to the right of expression
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -2
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Expanded term 4 by using associative property on %28a%2B2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2Aa%2B6=0+%29 equivalent to 2*a+6 =0
It becomes .
Result:
This is an equation! Solutions: a=-3.

Universal Simplifier and Solver


Done!
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