SOLUTION: Can someone help me solve this problem? -5a+3=2a+10

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Question 33870This question is from textbook Elementary and Intermediate Algebra
: Can someone help me solve this problem?
-5a+3=2a+10
This question is from textbook Elementary and Intermediate Algebra

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=-1.
  • Graphical form: Equation -5a%2B3=2a%2B10 was fully solved.
  • Text form: -5a+3=2a+10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-5a%2B3=2a%2B10+%29
    For tutors: simplify_cartoon( -5a+3=2a+10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -5%2Aa%2B3=highlight_red%28+2%2Aa%2B10+%29.
Moved these terms to the left highlight_green%28+-2%2Aa+%29,highlight_green%28+-10+%29
It becomes -5%2Aa%2B3-highlight_green%28+2%2Aa+%29-highlight_green%28+10+%29=0.

Look at -5%2Aa%2Bhighlight_red%28+3+%29-2%2Aa-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes -5%2Aa%2Bhighlight_green%28+-7+%29-2%2Aa=0.

Look at -5%2Aa%2Bhighlight_red%28+-7+%29-2%2Aa=0.
Moved -7 to the right of expression
It becomes -5%2Aa-2%2Aa%2Bhighlight_green%28+-7+%29=0.

Look at -5%2Aa-2%2Aa%2Bhighlight_red%28+-7+%29=0.
Removed extra sign in front of -7
It becomes -5%2Aa-2%2Aa-highlight_green%28+7+%29=0.

Look at -highlight_red%28+5%2Aa+%29-highlight_red%28+2%2Aa+%29-7=0.
Eliminated similar terms highlight_red%28+-5%2Aa+%29,highlight_red%28+-2%2Aa+%29 replacing them with highlight_green%28+%28-5-2%29%2Aa+%29
It becomes highlight_green%28+%28-5-2%29%2Aa+%29-7=0.

Look at %28-highlight_red%28+5+%29-highlight_red%28+2+%29%29%2Aa-7=0.
Added fractions or integers together
It becomes %28highlight_green%28+-7+%29%29%2Aa-7=0.

Look at %28highlight_red%28+-7+%29%29%2Aa-7=0.
Removed extra sign in front of -7
It becomes %28-highlight_green%28+7+%29%29%2Aa-7=0.

Look at highlight_red%28+%28-highlight_red%28+7+%29%29%2Aa+%29-7=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes -highlight_green%28+7+%29%2Aa-7=0.

Look at highlight_red%28+-7%2Aa-7+%29=0.
Solved linear equation highlight_red%28+-7%2Aa-7=0+%29 equivalent to -7*a-7 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=-1.

Universal Simplifier and Solver


Done!