SOLUTION: Help! Equation: -3(4x+1)+6x=4(2x-6) I came up with x=-2.1 Is that right?

Algebra ->  Linear-equations -> SOLUTION: Help! Equation: -3(4x+1)+6x=4(2x-6) I came up with x=-2.1 Is that right?      Log On


   

Question 21044: Help!
Equation:
-3(4x+1)+6x=4(2x-6)
I came up with x=-2.1
Is that right?
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


  • This is an equation! Solutions: x=1.5.
  • Graphical form: Equation -3%2A%284x%2B1%29%2B6x=4%2A%282x-6%29 was fully solved.
  • Text form: -3*(4x+1)+6x=4*(2x-6) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3%2A%284x%2B1%29%2B6x=4%2A%282x-6%29+%29
    For tutors: simplify_cartoon( -3*(4x+1)+6x=4*(2x-6) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -3%2A%284%2Ax%2B1%29%2B6%2Ax=highlight_red%28+4%2A%282%2Ax-6%29+%29.
Moved these terms to the left highlight_green%28+-4%2A%282%2Ax-6%29+%29
It becomes -3%2A%284%2Ax%2B1%29%2B6%2Ax-highlight_green%28+4%2A%282%2Ax-6%29+%29=0.
Look at -highlight_red%28+3%2A%284%2Ax%2B1%29+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0.
Expanded term -3 by using associative property on %284%2Ax%2B1%29
It becomes -highlight_green%28+3%2A4%2Ax+%29-highlight_green%28+3%2A1+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0.
Look at -highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ax-3%2A1%2B6%2Ax-4%2A%282%2Ax-6%29=0.
Multiplied numerator integers
It becomes -highlight_green%28+12+%29%2Ax-3%2A1%2B6%2Ax-4%2A%282%2Ax-6%29=0.
Look at -12%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0.
Multiplied numerator integers
It becomes -12%2Ax-highlight_green%28+3+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0.
Look at -12%2Ax-highlight_red%28+3+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0.
Moved -3 to the right of expression
It becomes -12%2Ax%2B6%2Ax-4%2A%282%2Ax-6%29-highlight_green%28+3+%29=0.
Look at -highlight_red%28+12%2Ax+%29%2Bhighlight_red%28+6%2Ax+%29-4%2A%282%2Ax-6%29-3=0.
Eliminated similar terms highlight_red%28+-12%2Ax+%29,highlight_red%28+6%2Ax+%29 replacing them with highlight_green%28+%28-12%2B6%29%2Ax+%29
It becomes highlight_green%28+%28-12%2B6%29%2Ax+%29-4%2A%282%2Ax-6%29-3=0.
Look at %28-highlight_red%28+12+%29%2Bhighlight_red%28+6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0.
Added fractions or integers together
It becomes %28highlight_green%28+-6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0.
Look at %28highlight_red%28+-6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0.
Removed extra sign in front of -6
It becomes %28-highlight_green%28+6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0.
Look at highlight_red%28+%28-highlight_red%28+6+%29%29%2Ax+%29-4%2A%282%2Ax-6%29-3=0.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes -highlight_green%28+6+%29%2Ax-4%2A%282%2Ax-6%29-3=0.
Look at -6%2Ax-highlight_red%28+4%2A%282%2Ax-6%29+%29-3=0.
Expanded term -4 by using associative property on %282%2Ax-6%29
It becomes -6%2Ax-highlight_green%28+4%2A2%2Ax+%29%2Bhighlight_green%28+4%2A6+%29-3=0.
Look at -6%2Ax-highlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2Ax%2B4%2A6-3=0.
Multiplied numerator integers
It becomes -6%2Ax-highlight_green%28+8+%29%2Ax%2B4%2A6-3=0.
Look at -6%2Ax-8%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+6+%29-3=0.
Multiplied numerator integers
It becomes -6%2Ax-8%2Ax%2Bhighlight_green%28+24+%29-3=0.
Look at -6%2Ax-8%2Ax%2Bhighlight_red%28+24+%29-highlight_red%28+3+%29=0.
Added fractions or integers together
It becomes -6%2Ax-8%2Ax%2Bhighlight_green%28+21+%29=0.
Look at -highlight_red%28+6%2Ax+%29-highlight_red%28+8%2Ax+%29%2B21=0.
Eliminated similar terms highlight_red%28+-6%2Ax+%29,highlight_red%28+-8%2Ax+%29 replacing them with highlight_green%28+%28-6-8%29%2Ax+%29
It becomes highlight_green%28+%28-6-8%29%2Ax+%29%2B21=0.
Look at %28-highlight_red%28+6+%29-highlight_red%28+8+%29%29%2Ax%2B21=0.
Added fractions or integers together
It becomes %28highlight_green%28+-14+%29%29%2Ax%2B21=0.
Look at %28highlight_red%28+-14+%29%29%2Ax%2B21=0.
Removed extra sign in front of -14
It becomes %28-highlight_green%28+14+%29%29%2Ax%2B21=0.
Look at highlight_red%28+%28-highlight_red%28+14+%29%29%2Ax+%29%2B21=0.
Remove unneeded parentheses around factor highlight_red%28+14+%29
It becomes -highlight_green%28+14+%29%2Ax%2B21=0.
Look at highlight_red%28+-14%2Ax%2B21+%29=0.
Solved linear equation highlight_red%28+-14%2Ax%2B21=0+%29 equivalent to -14*x+21 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=1.5.

Universal Simplifier and Solver


Done!

I'm afraid your answer of x=-2.1 is incorrect
If you need more help, I can tutor you one on one. Just email me!
Hope this helps!