5/4(g+3)=2/3(7-g)

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Solution for 5/4(g+3)=2/3(7-g) equation:



5/4(g+3)=2/3(7-g)
We move all terms to the left:
5/4(g+3)-(2/3(7-g))=0
Domain of the equation: 4(g+3)!=0
g∈R
Domain of the equation: 3(7-g))!=0
g∈R
We add all the numbers together, and all the variables
5/4(g+3)-(2/3(-1g+7))=0
We calculate fractions
(15g(-)/(4(g+3)*3(-1g+7)))+(-8gg/(4(g+3)*3(-1g+7)))=0
We calculate terms in parentheses: +(15g(-)/(4(g+3)*3(-1g+7))), so:
15g(-)/(4(g+3)*3(-1g+7))
We add all the numbers together, and all the variables
15g0/(4(g+3)*3(-1g+7))
We multiply all the terms by the denominator
15g0
We add all the numbers together, and all the variables
15g
Back to the equation:
+(15g)
We calculate terms in parentheses: +(-8gg/(4(g+3)*3(-1g+7))), so:
-8gg/(4(g+3)*3(-1g+7))
We multiply all the terms by the denominator
-8gg
Back to the equation:
+(-8gg)
We get rid of parentheses
15g-8gg=0

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