(4/3)(x-2)-(1/2)=2(3x/4-1)

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Solution for (4/3)(x-2)-(1/2)=2(3x/4-1) equation:



(4/3)(x-2)-(1/2)=2(3x/4-1)
We move all terms to the left:
(4/3)(x-2)-(1/2)-(2(3x/4-1))=0
Domain of the equation: 3)(x-2)!=0
x∈R
We add all the numbers together, and all the variables
(+4/3)(x-2)-(2(3x/4-1))-(+1/2)=0
We get rid of parentheses
(+4/3)(x-2)-(2(3x/4-1))-1/2=0
We multiply parentheses ..
(+4x^2+4/3*-2)-(2(3x/4-1))-1/2=0
We calculate fractions
8x^2/()+(-(2(3x*3*-2)*2)/()+()/()=0
We calculate terms in parentheses: +(-(2(3x*3*-2)*2)/()+()/(), so:
-(2(3x*3*-2)*2)/()+()/(
We add all the numbers together, and all the variables
-(2(3x*3*-2)*2)/()+1
We multiply all the terms by the denominator
-(2(3x*3*-2)*2)+1*()
We calculate terms in parentheses: -(2(3x*3*-2)*2), so:
2(3x*3*-2)*2
We multiply parentheses
36x^2-8
Back to the equation:
-(36x^2-8)
We add all the numbers together, and all the variables
-(36x^2-8)
We get rid of parentheses
-36x^2+8
Back to the equation:
+(-36x^2+8)
We get rid of parentheses
8x^2/()-36x^2+8=0
We multiply all the terms by the denominator
8x^2-36x^2*()+8*()=0
We add all the numbers together, and all the variables
8x^2-36x^2*()=0

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