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

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Question 213745: -4(a+1)-3a=7(2a-3)+3
Found 2 solutions by drj, jim_thompson5910:
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!


The following steps will solve the above problem

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: a=0.666666666666667.
  • Graphical form: Equation was fully solved.
  • Text form: -4*(a+1)-3a=7*(2a-3)+3 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( -4*(a+1)-3a=7*(2a-3)+3 )
  • 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%2A%282%2Aa-3%29+%29,highlight_green%28+-3+%29
It becomes .

Look at .
Expanded term -4 by using associative property on %28a%2B1%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Moved -7 to the right of expression
It becomes .

Look at .
Removed extra sign in front of -7
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-4%2Aa+%29,highlight_red%28+-3%2Aa+%29 replacing them with highlight_green%28+%28-4-3%29%2Aa+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -7
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes .

Look at .
Expanded term -7 by using associative property on %282%2Aa-3%29
It becomes .

Look at .
Multiplied numerator integers
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+-7%2Aa+%29,highlight_red%28+-14%2Aa+%29 replacing them with highlight_green%28+%28-7-14%29%2Aa+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -21
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+21+%29
It becomes .

Look at .
Solved linear equation highlight_red%28+-21%2Aa%2B14=0+%29 equivalent to -21*a+14 =0
It becomes .
Result:
This is an equation! Solutions: a=0.666666666666667.

Universal Simplifier and Solver


Done!



ANSWER is or 0.666667

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Distribute.


Combine like terms on the left side.


Combine like terms on the right side.


Add to both sides.


Subtract from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


----------------------------------------------------------------------

Answer:

So the solution is which approximates to .

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