SOLUTION: How do i solve problems like this (5x+6=2x+15)

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Question 217812: How do i solve problems like this (5x+6=2x+15)


Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve problems like this 5x+6=2x+15?

5x%2B6=2x%2B15

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


YOUR ANSWER


  • This is an equation! Solutions: x=3.
  • Graphical form: Equation 5x%2B6=2x%2B15 was fully solved.
  • Text form: 5x+6=2x+15 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5x%2B6=2x%2B15+%29
    For tutors: simplify_cartoon( 5x+6=2x+15 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2Ax%2B6=highlight_red%28+2%2Ax%2B15+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+-15+%29
It becomes 5%2Ax%2B6-highlight_green%28+2%2Ax+%29-highlight_green%28+15+%29=0.
Look at 5%2Ax%2Bhighlight_red%28+6+%29-2%2Ax-highlight_red%28+15+%29=0.
Added fractions or integers together
It becomes 5%2Ax%2Bhighlight_green%28+-9+%29-2%2Ax=0.
Look at 5%2Ax%2Bhighlight_red%28+-9+%29-2%2Ax=0.
Moved -9 to the right of expression
It becomes 5%2Ax-2%2Ax%2Bhighlight_green%28+-9+%29=0.
Look at 5%2Ax-2%2Ax%2Bhighlight_red%28+-9+%29=0.
Removed extra sign in front of -9
It becomes 5%2Ax-2%2Ax-highlight_green%28+9+%29=0.
Look at highlight_red%28+5%2Ax+%29-highlight_red%28+2%2Ax+%29-9=0.
Eliminated similar terms highlight_red%28+5%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%285-2%29%2Ax+%29
It becomes highlight_green%28+%285-2%29%2Ax+%29-9=0.
Look at %28highlight_red%28+5+%29-highlight_red%28+2+%29%29%2Ax-9=0.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax-9=0.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29-9=0.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax-9=0.
Look at highlight_red%28+3%2Ax-9+%29=0.
Solved linear equation highlight_red%28+3%2Ax-9=0+%29 equivalent to 3*x-9 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=3.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
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