SOLUTION: Please solve this equation. 6x-7=(103-x)+2x thank you

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Question 231364: Please solve this equation.

6x-7=(103-x)+2x

thank you
Answer by bamaboy(14) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=22.
  • Graphical form: Equation 6x-7=%28103-x%29%2B2x was fully solved.
  • Text form: 6x-7=(103-x)+2x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+6x-7=%28103-x%29%2B2x+%29
    For tutors: simplify_cartoon( 6x-7=(103-x)+2x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 6%2Ax-7=highlight_red%28+%28103-x%29+%29%2B2%2Ax.
Remove unneeded parentheses around terms highlight_red%28+103+%29,highlight_red%28+-x+%29
It becomes 6%2Ax-7=highlight_green%28+103+%29-highlight_green%28+x+%29%2B2%2Ax.
Look at 6%2Ax-7=highlight_red%28+103+%29-x%2B2%2Ax.
Moved 103 to the right of expression
It becomes 6%2Ax-7=-x%2B2%2Ax%2Bhighlight_green%28+103+%29.
Look at 6%2Ax-7=-highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2B103.
Eliminated similar terms highlight_red%28+-x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%28-1%2B2%29%2Ax+%29
It becomes 6%2Ax-7=highlight_green%28+%28-1%2B2%29%2Ax+%29%2B103.
Look at 6%2Ax-7=highlight_red%28+%28-1%2B2%29+%29%2Ax%2B103.
Remove extraneous '1' from product highlight_red%28+%28-1%2B2%29+%29
It becomes 6%2Ax-7=x%2B103.
Look at 6%2Ax-7=highlight_red%28+x%2B103+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-103+%29
It becomes 6%2Ax-7-highlight_green%28+x+%29-highlight_green%28+103+%29=0.
Look at 6%2Ax-highlight_red%28+7+%29-x-highlight_red%28+103+%29=0.
Added fractions or integers together
It becomes 6%2Ax%2Bhighlight_green%28+-110+%29-x=0.
Look at 6%2Ax%2Bhighlight_red%28+-110+%29-x=0.
Moved -110 to the right of expression
It becomes 6%2Ax-x%2Bhighlight_green%28+-110+%29=0.
Look at 6%2Ax-x%2Bhighlight_red%28+-110+%29=0.
Removed extra sign in front of -110
It becomes 6%2Ax-x-highlight_green%28+110+%29=0.
Look at highlight_red%28+6%2Ax+%29-highlight_red%28+x+%29-110=0.
Eliminated similar terms highlight_red%28+6%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%286-1%29%2Ax+%29
It becomes highlight_green%28+%286-1%29%2Ax+%29-110=0.
Look at %28highlight_red%28+6+%29-highlight_red%28+1+%29%29%2Ax-110=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ax-110=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-110=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ax-110=0.
Look at highlight_red%28+5%2Ax-110+%29=0.
Solved linear equation highlight_red%28+5%2Ax-110=0+%29 equivalent to 5*x-110 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=22.

Universal Simplifier and Solver


Done!