SOLUTION: 5 (x+1)= x+25

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Question 26604: 5 (x+1)= x+25
Answer by Alwayscheerful(414) 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: x=5.
  • Graphical form: Equation 5%2A%28x%2B1%29=x%2B25 was fully solved.
  • Text form: 5*(x+1)=x+25 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5%2A%28x%2B1%29=x%2B25+%29
    For tutors: simplify_cartoon( 5*(x+1)=x+25 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2A%28x%2B1%29=highlight_red%28+x%2B25+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-25+%29
It becomes 5%2A%28x%2B1%29-highlight_green%28+x+%29-highlight_green%28+25+%29=0.
Look at highlight_red%28+5%2A%28x%2B1%29+%29-x-25=0.
Expanded term 5 by using associative property on %28x%2B1%29
It becomes highlight_green%28+5%2Ax+%29%2Bhighlight_green%28+5%2A1+%29-x-25=0.
Look at 5%2Ax%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+1+%29-x-25=0.
Multiplied numerator integers
It becomes 5%2Ax%2Bhighlight_green%28+5+%29-x-25=0.
Look at 5%2Ax%2Bhighlight_red%28+5+%29-x-highlight_red%28+25+%29=0.
Added fractions or integers together
It becomes 5%2Ax%2Bhighlight_green%28+-20+%29-x=0.
Look at 5%2Ax%2Bhighlight_red%28+-20+%29-x=0.
Moved -20 to the right of expression
It becomes 5%2Ax-x%2Bhighlight_green%28+-20+%29=0.
Look at 5%2Ax-x%2Bhighlight_red%28+-20+%29=0.
Removed extra sign in front of -20
It becomes 5%2Ax-x-highlight_green%28+20+%29=0.
Look at highlight_red%28+5%2Ax+%29-highlight_red%28+x+%29-20=0.
Eliminated similar terms highlight_red%28+5%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%285-1%29%2Ax+%29
It becomes highlight_green%28+%285-1%29%2Ax+%29-20=0.
Look at %28highlight_red%28+5+%29-highlight_red%28+1+%29%29%2Ax-20=0.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax-20=0.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29-20=0.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax-20=0.
Look at highlight_red%28+4%2Ax-20+%29=0.
Solved linear equation highlight_red%28+4%2Ax-20=0+%29 equivalent to 4*x-20 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=5.

Universal Simplifier and Solver


Done!

Hope this helps!