SOLUTION: 4(3x+2)=3(2x-8)

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Question 606900: 4(3x+2)=3(2x-8)
Answer by asuar010(338) 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=-5.33333333333333.
  • Graphical form: Equation 4%2A%283x%2B2%29=3%2A%282x-8%29 was fully solved.
  • Text form: 4*(3x+2)=3*(2x-8) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4%2A%283x%2B2%29=3%2A%282x-8%29+%29
    For tutors: simplify_cartoon( 4*(3x+2)=3*(2x-8) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2A%283%2Ax%2B2%29=highlight_red%28+3%2A%282%2Ax-8%29+%29.
Moved these terms to the left highlight_green%28+-3%2A%282%2Ax-8%29+%29
It becomes 4%2A%283%2Ax%2B2%29-highlight_green%28+3%2A%282%2Ax-8%29+%29=0.
Look at highlight_red%28+4%2A%283%2Ax%2B2%29+%29-3%2A%282%2Ax-8%29=0.
Expanded term 4 by using associative property on %283%2Ax%2B2%29
It becomes highlight_green%28+4%2A3%2Ax+%29%2Bhighlight_green%28+4%2A2+%29-3%2A%282%2Ax-8%29=0.
Look at highlight_red%28+4+%29%2Ahighlight_red%28+3+%29%2Ax%2B4%2A2-3%2A%282%2Ax-8%29=0.
Multiplied numerator integers
It becomes highlight_green%28+12+%29%2Ax%2B4%2A2-3%2A%282%2Ax-8%29=0.
Look at 12%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29-3%2A%282%2Ax-8%29=0.
Multiplied numerator integers
It becomes 12%2Ax%2Bhighlight_green%28+8+%29-3%2A%282%2Ax-8%29=0.
Look at 12%2Ax%2Bhighlight_red%28+8+%29-3%2A%282%2Ax-8%29=0.
Moved 8 to the right of expression
It becomes 12%2Ax-3%2A%282%2Ax-8%29%2Bhighlight_green%28+8+%29=0.
Look at 12%2Ax-highlight_red%28+3%2A%282%2Ax-8%29+%29%2B8=0.
Expanded term -3 by using associative property on %282%2Ax-8%29
It becomes 12%2Ax-highlight_green%28+3%2A2%2Ax+%29%2Bhighlight_green%28+3%2A8+%29%2B8=0.
Look at 12%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ax%2B3%2A8%2B8=0.
Multiplied numerator integers
It becomes 12%2Ax-highlight_green%28+6+%29%2Ax%2B3%2A8%2B8=0.
Look at 12%2Ax-6%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+8+%29%2B8=0.
Multiplied numerator integers
It becomes 12%2Ax-6%2Ax%2Bhighlight_green%28+24+%29%2B8=0.
Look at 12%2Ax-6%2Ax%2Bhighlight_red%28+24+%29%2Bhighlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 12%2Ax-6%2Ax%2Bhighlight_green%28+32+%29=0.
Look at highlight_red%28+12%2Ax+%29-highlight_red%28+6%2Ax+%29%2B32=0.
Eliminated similar terms highlight_red%28+12%2Ax+%29,highlight_red%28+-6%2Ax+%29 replacing them with highlight_green%28+%2812-6%29%2Ax+%29
It becomes highlight_green%28+%2812-6%29%2Ax+%29%2B32=0.
Look at %28highlight_red%28+12+%29-highlight_red%28+6+%29%29%2Ax%2B32=0.
Added fractions or integers together
It becomes %28highlight_green%28+6+%29%29%2Ax%2B32=0.
Look at highlight_red%28+%28highlight_red%28+6+%29%29%2Ax+%29%2B32=0.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes highlight_green%28+6+%29%2Ax%2B32=0.
Look at highlight_red%28+6%2Ax%2B32+%29=0.
Solved linear equation highlight_red%28+6%2Ax%2B32=0+%29 equivalent to 6*x+32 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-5.33333333333333.

Universal Simplifier and Solver


Done!