SOLUTION: 7a=2(a-10)

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Question 293017: 7a=2(a-10)
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=-4.
  • Graphical form: Equation 7a=2%2A%28a-10%29 was fully solved.
  • Text form: 7a=2*(a-10) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+7a=2%2A%28a-10%29+%29
    For tutors: simplify_cartoon( 7a=2*(a-10) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 7%2Aa=highlight_red%28+2%2A%28a-10%29+%29.
Moved these terms to the left highlight_green%28+-2%2A%28a-10%29+%29
It becomes 7%2Aa-highlight_green%28+2%2A%28a-10%29+%29=0.
Look at 7%2Aa-highlight_red%28+2%2A%28a-10%29+%29=0.
Expanded term -2 by using associative property on %28a-10%29
It becomes 7%2Aa-highlight_green%28+2%2Aa+%29%2Bhighlight_green%28+2%2A10+%29=0.
Look at 7%2Aa-2%2Aa%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+10+%29=0.
Multiplied numerator integers
It becomes 7%2Aa-2%2Aa%2Bhighlight_green%28+20+%29=0.
Look at highlight_red%28+7%2Aa+%29-highlight_red%28+2%2Aa+%29%2B20=0.
Eliminated similar terms highlight_red%28+7%2Aa+%29,highlight_red%28+-2%2Aa+%29 replacing them with highlight_green%28+%287-2%29%2Aa+%29
It becomes highlight_green%28+%287-2%29%2Aa+%29%2B20=0.
Look at %28highlight_red%28+7+%29-highlight_red%28+2+%29%29%2Aa%2B20=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Aa%2B20=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Aa+%29%2B20=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Aa%2B20=0.
Look at highlight_red%28+5%2Aa%2B20+%29=0.
Solved linear equation highlight_red%28+5%2Aa%2B20=0+%29 equivalent to 5*a+20 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=-4.

Universal Simplifier and Solver


Done!