SOLUTION: 6(4x-1)=12(2x+3)

Algebra ->  Linear-equations -> SOLUTION: 6(4x-1)=12(2x+3)      Log On


   

Question 24244: 6(4x-1)=12(2x+3)
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


  • Graphical form: 6%2A%284x-1%29=12%2A%282x%2B3%29 simplifies to -42=0
  • Text form: 6*(4x-1)=12*(2x+3) simplifies to -42=0
  • Cartoon (animation) form: simplify_cartoon%28+6%2A%284x-1%29=12%2A%282x%2B3%29+%29
    For tutors: simplify_cartoon( 6*(4x-1)=12*(2x+3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 6%2A%284%2Ax-1%29=highlight_red%28+12%2A%282%2Ax%2B3%29+%29.
Moved these terms to the left highlight_green%28+-12%2A%282%2Ax%2B3%29+%29
It becomes 6%2A%284%2Ax-1%29-highlight_green%28+12%2A%282%2Ax%2B3%29+%29=0.
Look at highlight_red%28+6%2A%284%2Ax-1%29+%29-12%2A%282%2Ax%2B3%29=0.
Expanded term 6 by using associative property on %284%2Ax-1%29
It becomes highlight_green%28+6%2A4%2Ax+%29-highlight_green%28+6%2A1+%29-12%2A%282%2Ax%2B3%29=0.
Look at highlight_red%28+6+%29%2Ahighlight_red%28+4+%29%2Ax-6%2A1-12%2A%282%2Ax%2B3%29=0.
Multiplied numerator integers
It becomes highlight_green%28+24+%29%2Ax-6%2A1-12%2A%282%2Ax%2B3%29=0.
Look at 24%2Ax-highlight_red%28+6+%29%2Ahighlight_red%28+1+%29-12%2A%282%2Ax%2B3%29=0.
Multiplied numerator integers
It becomes 24%2Ax-highlight_green%28+6+%29-12%2A%282%2Ax%2B3%29=0.
Look at 24%2Ax-highlight_red%28+6+%29-12%2A%282%2Ax%2B3%29=0.
Moved -6 to the right of expression
It becomes 24%2Ax-12%2A%282%2Ax%2B3%29-highlight_green%28+6+%29=0.
Look at 24%2Ax-highlight_red%28+12%2A%282%2Ax%2B3%29+%29-6=0.
Expanded term -12 by using associative property on %282%2Ax%2B3%29
It becomes 24%2Ax-highlight_green%28+12%2A2%2Ax+%29-highlight_green%28+12%2A3+%29-6=0.
Look at 24%2Ax-highlight_red%28+12+%29%2Ahighlight_red%28+2+%29%2Ax-12%2A3-6=0.
Multiplied numerator integers
It becomes 24%2Ax-highlight_green%28+24+%29%2Ax-12%2A3-6=0.
Look at 24%2Ax-24%2Ax-highlight_red%28+12+%29%2Ahighlight_red%28+3+%29-6=0.
Multiplied numerator integers
It becomes 24%2Ax-24%2Ax-highlight_green%28+36+%29-6=0.
Look at 24%2Ax-24%2Ax-highlight_red%28+36+%29-highlight_red%28+6+%29=0.
Added fractions or integers together
It becomes 24%2Ax-24%2Ax%2Bhighlight_green%28+-42+%29=0.
Look at 24%2Ax-24%2Ax%2Bhighlight_red%28+-42+%29=0.
Removed extra sign in front of -42
It becomes 24%2Ax-24%2Ax-highlight_green%28+42+%29=0.
Look at highlight_red%28+24%2Ax+%29-highlight_red%28+24%2Ax+%29-42=0.
Eliminated similar terms highlight_red%28+24%2Ax+%29,highlight_red%28+-24%2Ax+%29 replacing them with highlight_green%28+%2824-24%29%2Ax+%29
It becomes highlight_green%28+%2824-24%29%2Ax+%29-42=0.
Look at highlight_red%28+%2824-24%29%2Ax+%29-42=0.
Since highlight_red%28+%2824-24%29%2Ax+%29 has zero as a factor, it should be replaced with a zero
Look at 0-42=0.
Added fractions or integers together
It becomes 0-42=0.
Look at highlight_red%28+0+%29-42=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes -42=0.
Result: -42=0

Universal Simplifier and Solver


Done!

Hope this helps!