SOLUTION: 6x+8=x+8+3 (6x+8)

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 6x+8=x+8+3 (6x+8)       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 922353: 6x+8=x+8+3 (6x+8)


Answer by srinivas.g(540) 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=-1.84615384615385.
  • Graphical form: Equation 6x%2B8=x%2B8%2B3%2A%286x%2B8%29 was fully solved.
  • Text form: 6x+8=x+8+3*(6x+8) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+6x%2B8=x%2B8%2B3%2A%286x%2B8%29+%29
    For tutors: simplify_cartoon( 6x+8=x+8+3*(6x+8) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 6%2Ax%2B8=x%2Bhighlight_red%28+8+%29%2B3%2A%286%2Ax%2B8%29.
Moved 8 to the right of expression
It becomes 6%2Ax%2B8=x%2B3%2A%286%2Ax%2B8%29%2Bhighlight_green%28+8+%29.
Look at 6%2Ax%2B8=highlight_red%28+x%2B3%2A%286%2Ax%2B8%29%2B8+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-3%2A%286%2Ax%2B8%29+%29,highlight_green%28+-8+%29
It becomes .
Look at 6%2Ax%2Bhighlight_red%28+8+%29-x-3%2A%286%2Ax%2B8%29-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 6%2Ax%2Bhighlight_green%28+0+%29-x-3%2A%286%2Ax%2B8%29=0.
Look at 6%2Ax%2Bhighlight_red%28+0+%29-x-3%2A%286%2Ax%2B8%29=0.
Moved 0 to the right of expression
It becomes 6%2Ax-x-3%2A%286%2Ax%2B8%29%2Bhighlight_green%28+0+%29=0.
Look at 6%2Ax-x-3%2A%286%2Ax%2B8%29%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes 6%2Ax-x-3%2A%286%2Ax%2B8%29=0.
Look at highlight_red%28+6%2Ax+%29-highlight_red%28+x+%29-3%2A%286%2Ax%2B8%29=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+%29-3%2A%286%2Ax%2B8%29=0.
Look at %28highlight_red%28+6+%29-highlight_red%28+1+%29%29%2Ax-3%2A%286%2Ax%2B8%29=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ax-3%2A%286%2Ax%2B8%29=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-3%2A%286%2Ax%2B8%29=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ax-3%2A%286%2Ax%2B8%29=0.
Look at 5%2Ax-highlight_red%28+3%2A%286%2Ax%2B8%29+%29=0.
Expanded term -3 by using associative property on %286%2Ax%2B8%29
It becomes 5%2Ax-highlight_green%28+3%2A6%2Ax+%29-highlight_green%28+3%2A8+%29=0.
Look at 5%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+6+%29%2Ax-3%2A8=0.
Multiplied numerator integers
It becomes 5%2Ax-highlight_green%28+18+%29%2Ax-3%2A8=0.
Look at 5%2Ax-18%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+8+%29=0.
Multiplied numerator integers
It becomes 5%2Ax-18%2Ax-highlight_green%28+24+%29=0.
Look at highlight_red%28+5%2Ax+%29-highlight_red%28+18%2Ax+%29-24=0.
Eliminated similar terms highlight_red%28+5%2Ax+%29,highlight_red%28+-18%2Ax+%29 replacing them with highlight_green%28+%285-18%29%2Ax+%29
It becomes highlight_green%28+%285-18%29%2Ax+%29-24=0.
Look at %28highlight_red%28+5+%29-highlight_red%28+18+%29%29%2Ax-24=0.
Added fractions or integers together
It becomes %28highlight_green%28+-13+%29%29%2Ax-24=0.
Look at %28highlight_red%28+-13+%29%29%2Ax-24=0.
Removed extra sign in front of -13
It becomes %28-highlight_green%28+13+%29%29%2Ax-24=0.
Look at highlight_red%28+%28-highlight_red%28+13+%29%29%2Ax+%29-24=0.
Remove unneeded parentheses around factor highlight_red%28+13+%29
It becomes -highlight_green%28+13+%29%2Ax-24=0.
Look at highlight_red%28+-13%2Ax-24+%29=0.
Solved linear equation highlight_red%28+-13%2Ax-24=0+%29 equivalent to -13*x-24 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-1.84615384615385.

Universal Simplifier and Solver


Done!