5x-1/3(x-4)=4+1/4(2x+3)

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Solution for 5x-1/3(x-4)=4+1/4(2x+3) equation:



5x-1/3(x-4)=4+1/4(2x+3)
We move all terms to the left:
5x-1/3(x-4)-(4+1/4(2x+3))=0
Domain of the equation: 3(x-4)!=0
x∈R
Domain of the equation: 4(2x+3))!=0
x∈R
We calculate fractions
5x+(-4x2/(3(x-4)*4(2x+3)))+(-3xx/(3(x-4)*4(2x+3)))=0
We calculate terms in parentheses: +(-4x2/(3(x-4)*4(2x+3))), so:
-4x2/(3(x-4)*4(2x+3))
We multiply all the terms by the denominator
-4x2
We add all the numbers together, and all the variables
-4x^2
Back to the equation:
+(-4x^2)
We calculate terms in parentheses: +(-3xx/(3(x-4)*4(2x+3))), so:
-3xx/(3(x-4)*4(2x+3))
We multiply all the terms by the denominator
-3xx
Back to the equation:
+(-3xx)
We get rid of parentheses
-4x^2+5x-3xx=0

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