SOLUTION: solve the equation below and show steps in work 1/3(12+x)=-8(6-x)

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Question 941487: solve the equation below and show steps in work
1/3(12+x)=-8(6-x)
Found 2 solutions by srinivas.g, MathTherapy:
Answer by srinivas.g(540)   (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=6.78260869565217.
  • Graphical form: Equation was fully solved.
  • Text form: (1/3)*(12+x)=-8*(6-x) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (1/3)*(12+x)=-8*(6-x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F3+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Moved 12 to the right of expression
It becomes .
Look at .
Moved 6 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+8%2A%28-x%2B6%29+%29
It becomes .
Look at .
Expanded term 1%2F3 by using associative property on %28x%2B12%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Factors 12 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Moved 4%2F1 to the right of expression
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Look at .
Expanded term 8 by using associative property on %28-x%2B6%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Eliminated similar terms highlight_red%28+x%2F3+%29,highlight_red%28+-8%2Ax+%29 replacing them with highlight_green%28+%281%2F3-8%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+23+%29,highlight_red%28+1%2F3+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-23%2F3%2Ax%2B52=0+%29 equivalent to -7.66666666666667*x+52 =0
It becomes .
Result:
This is an equation! Solutions: x=6.78260869565217.

Universal Simplifier and Solver


Done!
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

solve the equation below and show steps in work
1/3(12+x)=-8(6-x)








 ------- Cross-multiplying





23x = 156

 

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