x-1/4(-x+10)=-5+1/3(-6x+3)

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Solution for x-1/4(-x+10)=-5+1/3(-6x+3) equation:



x-1/4(-x+10)=-5+1/3(-6x+3)
We move all terms to the left:
x-1/4(-x+10)-(-5+1/3(-6x+3))=0
Domain of the equation: 4(-x+10)!=0
x∈R
Domain of the equation: 3(-6x+3))!=0
x∈R
We add all the numbers together, and all the variables
x-1/4(-1x+10)-(-5+1/3(-6x+3))=0
We calculate fractions
x+(-3x(-)/(4(-1x+10)*3(-6x+3)))+(-4x0/(4(-1x+10)*3(-6x+3)))=0
We calculate terms in parentheses: +(-3x(-)/(4(-1x+10)*3(-6x+3))), so:
-3x(-)/(4(-1x+10)*3(-6x+3))
We add all the numbers together, and all the variables
-3x0/(4(-1x+10)*3(-6x+3))
We multiply all the terms by the denominator
-3x0
We add all the numbers together, and all the variables
-3x
Back to the equation:
+(-3x)
We calculate terms in parentheses: +(-4x0/(4(-1x+10)*3(-6x+3))), so:
-4x0/(4(-1x+10)*3(-6x+3))
We multiply all the terms by the denominator
-4x0
We add all the numbers together, and all the variables
-4x
Back to the equation:
+(-4x)
We get rid of parentheses
x-3x-4x=0
We add all the numbers together, and all the variables
-6x=0
x=0/-6
x=0

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