SOLUTION: Solve for X 2/3*(x-6)-4=3/4*(x+2)

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Question 6284: Solve for X
2/3*(x-6)-4=3/4*(x+2)

Answer by ichudov(507)   (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=-114.
  • Graphical form: Equation was fully solved.
  • Text form: 2/3*(x-6)-4=3/4*(x+2) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2/3*(x-6)-4=3/4*(x+2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Moved these terms to the left highlight_green%28+-3%2F4%2A%28x%2B2%29+%29
It becomes .

Look at .
Moved -4 to the right of expression
It becomes .

Look at .
Expanded term 2%2F3 by using associative property on %28x-6%29
It becomes .

Look at .
Factors 6 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Moved -8 to the right of expression
It becomes .

Look at .
Removed extra sign in front of -8
It becomes .

Look at .
Expanded term -3%2F4 by using associative property on %28x%2B2%29
It becomes .

Look at .
Factors 2 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
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+2%2F3%2Ax+%29,highlight_red%28+-3%2F4%2Ax+%29 replacing them with highlight_green%28+%282%2A1%2F3-3%2A1%2F4%29%2Ax+%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F12+%29
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .

Look at .
Solved linear equation highlight_red%28+-x%2F12-19%2F2=0+%29 equivalent to -0.0833333333333333*x-9.5 =0
It becomes .
Result:
This is an equation! Solutions: x=-114.

Universal Simplifier and Solver


Done!

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