SOLUTION: 4x+2=3(x-6)+8

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Question 26596: 4x+2=3(x-6)+8
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=-12.
  • Graphical form: Equation 4x%2B2=3%2A%28x-6%29%2B8 was fully solved.
  • Text form: 4x+2=3*(x-6)+8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4x%2B2=3%2A%28x-6%29%2B8+%29
    For tutors: simplify_cartoon( 4x+2=3*(x-6)+8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2Ax%2B2=highlight_red%28+3%2A%28x-6%29%2B8+%29.
Moved these terms to the left highlight_green%28+-3%2A%28x-6%29+%29,highlight_green%28+-8+%29
It becomes 4%2Ax%2B2-highlight_green%28+3%2A%28x-6%29+%29-highlight_green%28+8+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+2+%29-3%2A%28x-6%29-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-6+%29-3%2A%28x-6%29=0.
Look at 4%2Ax%2Bhighlight_red%28+-6+%29-3%2A%28x-6%29=0.
Moved -6 to the right of expression
It becomes 4%2Ax-3%2A%28x-6%29%2Bhighlight_green%28+-6+%29=0.
Look at 4%2Ax-3%2A%28x-6%29%2Bhighlight_red%28+-6+%29=0.
Removed extra sign in front of -6
It becomes 4%2Ax-3%2A%28x-6%29-highlight_green%28+6+%29=0.
Look at 4%2Ax-highlight_red%28+3%2A%28x-6%29+%29-6=0.
Expanded term -3 by using associative property on %28x-6%29
It becomes 4%2Ax-highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A6+%29-6=0.
Look at 4%2Ax-3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+6+%29-6=0.
Multiplied numerator integers
It becomes 4%2Ax-3%2Ax%2Bhighlight_green%28+18+%29-6=0.
Look at 4%2Ax-3%2Ax%2Bhighlight_red%28+18+%29-highlight_red%28+6+%29=0.
Added fractions or integers together
It becomes 4%2Ax-3%2Ax%2Bhighlight_green%28+12+%29=0.
Look at highlight_red%28+4%2Ax+%29-highlight_red%28+3%2Ax+%29%2B12=0.
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%284-3%29%2Ax+%29
It becomes highlight_green%28+%284-3%29%2Ax+%29%2B12=0.
Look at highlight_red%28+%284-3%29+%29%2Ax%2B12=0.
Remove extraneous '1' from product highlight_red%28+%284-3%29+%29
It becomes x%2B12=0.
Look at highlight_red%28+x%2B12+%29=0.
Solved linear equation highlight_red%28+x%2B12=0+%29 equivalent to x+12 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-12.

Universal Simplifier and Solver


Done!

Hope this helps!