SOLUTION: 2x+10+x+2x-20=180

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Question 214992: 2x+10+x+2x-20=180
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B10%2Bx%2B2x-20=180

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


YOUR ANSWER


  • This is an equation! Solutions: x=38.
  • Graphical form: Equation 2x%2B10%2Bx%2B2x-20=180 was fully solved.
  • Text form: 2x+10+x+2x-20=180 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x%2B10%2Bx%2B2x-20=180+%29
    For tutors: simplify_cartoon( 2x+10+x+2x-20=180 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at 2%2Ax%2Bhighlight_red%28+10+%29%2Bx%2B2%2Ax-highlight_red%28+20+%29=180.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-10+%29%2Bx%2B2%2Ax=180.

Look at 2%2Ax%2Bhighlight_red%28+-10+%29%2Bx%2B2%2Ax=180.
Moved -10 to the right of expression
It becomes 2%2Ax%2Bx%2B2%2Ax%2Bhighlight_green%28+-10+%29=180.

Look at 2%2Ax%2Bx%2B2%2Ax%2Bhighlight_red%28+-10+%29=180.
Removed extra sign in front of -10
It becomes 2%2Ax%2Bx%2B2%2Ax-highlight_green%28+10+%29=180.

Look at highlight_red%28+2%2Ax+%29%2Bhighlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29-10=180.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%282%2B1%2B2%29%2Ax+%29
It becomes highlight_green%28+%282%2B1%2B2%29%2Ax+%29-10=180.

Look at %28highlight_red%28+2+%29%2Bhighlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Ax-10=180.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ax-10=180.

Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-10=180.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ax-10=180.

Look at 5%2Ax-10=highlight_red%28+180+%29.
Moved these terms to the left highlight_green%28+-180+%29
It becomes 5%2Ax-10-highlight_green%28+180+%29=0.

Look at 5%2Ax-highlight_red%28+10+%29-highlight_red%28+180+%29=0.
Added fractions or integers together
It becomes 5%2Ax%2Bhighlight_green%28+-190+%29=0.

Look at 5%2Ax%2Bhighlight_red%28+-190+%29=0.
Removed extra sign in front of -190
It becomes 5%2Ax-highlight_green%28+190+%29=0.

Look at highlight_red%28+5%2Ax-190+%29=0.
Solved linear equation highlight_red%28+5%2Ax-190=0+%29 equivalent to 5*x-190 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=38.

Universal Simplifier and Solver


Done!



ANSWER. x=38

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J