SOLUTION: -3(-4x+1)+ 4 =2x-9

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Question 308657: -3(-4x+1)+ 4 =2x-9
Found 2 solutions by ichudov, rapaljer:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
For simple stuff like this, always use the universal simplifier and solver.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-1.
  • Graphical form: Equation -3%2A%28-4x%2B1%29%2B4=2x-9 was fully solved.
  • Text form: -3*(-4x+1)+4=2x-9 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3%2A%28-4x%2B1%29%2B4=2x-9+%29
    For tutors: simplify_cartoon( -3*(-4x+1)+4=2x-9 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -3%2A%28-4%2Ax%2B1%29%2B4=highlight_red%28+2%2Ax-9+%29.
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+9+%29
It becomes -3%2A%28-4%2Ax%2B1%29%2B4-highlight_green%28+2%2Ax+%29%2Bhighlight_green%28+9+%29=0.
Look at -3%2A%28-4%2Ax%2B1%29%2Bhighlight_red%28+4+%29-2%2Ax%2Bhighlight_red%28+9+%29=0.
Added fractions or integers together
It becomes -3%2A%28-4%2Ax%2B1%29%2Bhighlight_green%28+13+%29-2%2Ax=0.
Look at -3%2A%28-4%2Ax%2B1%29%2Bhighlight_red%28+13+%29-2%2Ax=0.
Moved 13 to the right of expression
It becomes -3%2A%28-4%2Ax%2B1%29-2%2Ax%2Bhighlight_green%28+13+%29=0.
Look at -highlight_red%28+3%2A%28-4%2Ax%2B1%29+%29-2%2Ax%2B13=0.
Expanded term -3 by using associative property on %28-4%2Ax%2B1%29
It becomes highlight_green%28+3%2A4%2Ax+%29-highlight_green%28+3%2A1+%29-2%2Ax%2B13=0.
Look at highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ax-3%2A1-2%2Ax%2B13=0.
Multiplied numerator integers
It becomes highlight_green%28+12+%29%2Ax-3%2A1-2%2Ax%2B13=0.
Look at 12%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+1+%29-2%2Ax%2B13=0.
Multiplied numerator integers
It becomes 12%2Ax-highlight_green%28+3+%29-2%2Ax%2B13=0.
Look at 12%2Ax-highlight_red%28+3+%29-2%2Ax%2Bhighlight_red%28+13+%29=0.
Added fractions or integers together
It becomes 12%2Ax%2Bhighlight_green%28+10+%29-2%2Ax=0.
Look at 12%2Ax%2Bhighlight_red%28+10+%29-2%2Ax=0.
Moved 10 to the right of expression
It becomes 12%2Ax-2%2Ax%2Bhighlight_green%28+10+%29=0.
Look at highlight_red%28+12%2Ax+%29-highlight_red%28+2%2Ax+%29%2B10=0.
Eliminated similar terms highlight_red%28+12%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%2812-2%29%2Ax+%29
It becomes highlight_green%28+%2812-2%29%2Ax+%29%2B10=0.
Look at %28highlight_red%28+12+%29-highlight_red%28+2+%29%29%2Ax%2B10=0.
Added fractions or integers together
It becomes %28highlight_green%28+10+%29%29%2Ax%2B10=0.
Look at highlight_red%28+%28highlight_red%28+10+%29%29%2Ax+%29%2B10=0.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes highlight_green%28+10+%29%2Ax%2B10=0.
Look at highlight_red%28+10%2Ax%2B10+%29=0.
Solved linear equation highlight_red%28+10%2Ax%2B10=0+%29 equivalent to 10*x+10 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-1.

Universal Simplifier and Solver


Done!

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
-3(-4x+1)+4=2x-9
12x-3+4=2x-9
12x+1=2x-9

Subtract 2x from each side
12x-2x+1=2x-2x-9
10x+1=-9

Now, subtract 1 from each side:
10x+1-1=-9-1
10x=-10

Divide by 10
x=-1

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Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus