1/4(16x+36)-9=-1/3(12x-9)

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Solution for 1/4(16x+36)-9=-1/3(12x-9) equation:



1/4(16x+36)-9=-1/3(12x-9)
We move all terms to the left:
1/4(16x+36)-9-(-1/3(12x-9))=0
Domain of the equation: 4(16x+36)!=0
x∈R
Domain of the equation: 3(12x-9))!=0
x∈R
We calculate fractions
(3x1/(4(16x+36)*3(12x-9)))+(-(-4x1)/(4(16x+36)*3(12x-9)))-9=0
We calculate terms in parentheses: +(3x1/(4(16x+36)*3(12x-9))), so:
3x1/(4(16x+36)*3(12x-9))
We multiply all the terms by the denominator
3x1
We add all the numbers together, and all the variables
3x
Back to the equation:
+(3x)
We calculate terms in parentheses: +(-(-4x1)/(4(16x+36)*3(12x-9))), so:
-(-4x1)/(4(16x+36)*3(12x-9))
We add all the numbers together, and all the variables
-(-4x)/(4(16x+36)*3(12x-9))
We multiply all the terms by the denominator
-(-4x)
We get rid of parentheses
4x
Back to the equation:
+(4x)
We add all the numbers together, and all the variables
7x-9=0
We move all terms containing x to the left, all other terms to the right
7x=9
x=9/7
x=1+2/7

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