SOLUTION: How do you solve this(7a+3)+(-a-5)=-16?

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Question 216118: How do you solve this(7a+3)+(-a-5)=-16?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve this(7a+3)+(-a-5)=-16?

The following steps will solve this equation:

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


YOUR ANSWER


  • This is an equation! Solutions: a=-2.33333333333333.
  • Graphical form: Equation %287a%2B3%29%2B%28-a-5%29=-16 was fully solved.
  • Text form: (7a+3)+(-a-5)=-16 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%287a%2B3%29%2B%28-a-5%29=-16+%29
    For tutors: simplify_cartoon( (7a+3)+(-a-5)=-16 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%287%2Aa%2B3%29+%29%2B%28-a-5%29=-16.
Remove unneeded parentheses around terms highlight_red%28+7%2Aa+%29,highlight_red%28+3+%29
It becomes highlight_green%28+7%2Aa+%29%2Bhighlight_green%28+3+%29%2B%28-a-5%29=-16.
Look at 7%2Aa%2B3%2Bhighlight_red%28+%28-a-5%29+%29=-16.
Remove unneeded parentheses around terms highlight_red%28+-a+%29,highlight_red%28+-5+%29
It becomes 7%2Aa%2B3-highlight_green%28+a+%29-highlight_green%28+5+%29=-16.
Look at 7%2Aa%2Bhighlight_red%28+3+%29-a-highlight_red%28+5+%29=-16.
Added fractions or integers together
It becomes 7%2Aa%2Bhighlight_green%28+-2+%29-a=-16.
Look at 7%2Aa%2Bhighlight_red%28+-2+%29-a=-16.
Moved -2 to the right of expression
It becomes 7%2Aa-a%2Bhighlight_green%28+-2+%29=-16.
Look at 7%2Aa-a%2Bhighlight_red%28+-2+%29=-16.
Removed extra sign in front of -2
It becomes 7%2Aa-a-highlight_green%28+2+%29=-16.
Look at highlight_red%28+7%2Aa+%29-highlight_red%28+a+%29-2=-16.
Eliminated similar terms highlight_red%28+7%2Aa+%29,highlight_red%28+-a+%29 replacing them with highlight_green%28+%287-1%29%2Aa+%29
It becomes highlight_green%28+%287-1%29%2Aa+%29-2=-16.
Look at %28highlight_red%28+7+%29-highlight_red%28+1+%29%29%2Aa-2=-16.
Added fractions or integers together
It becomes %28highlight_green%28+6+%29%29%2Aa-2=-16.
Look at highlight_red%28+%28highlight_red%28+6+%29%29%2Aa+%29-2=-16.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes highlight_green%28+6+%29%2Aa-2=-16.
Look at 6%2Aa-2=highlight_red%28+-16+%29.
Moved these terms to the left highlight_green%28+16+%29
It becomes 6%2Aa-2%2Bhighlight_green%28+16+%29=0.
Look at 6%2Aa-highlight_red%28+2+%29%2Bhighlight_red%28+16+%29=0.
Added fractions or integers together
It becomes 6%2Aa%2Bhighlight_green%28+14+%29=0.
Look at highlight_red%28+6%2Aa%2B14+%29=0.
Solved linear equation highlight_red%28+6%2Aa%2B14=0+%29 equivalent to 6*a+14 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=-2.33333333333333.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J