1/3(18x+21)-5=-1/5(10x-15)

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Solution for 1/3(18x+21)-5=-1/5(10x-15) equation:



1/3(18x+21)-5=-1/5(10x-15)
We move all terms to the left:
1/3(18x+21)-5-(-1/5(10x-15))=0
Domain of the equation: 3(18x+21)!=0
x∈R
Domain of the equation: 5(10x-15))!=0
x∈R
We calculate fractions
(5x1/(3(18x+21)*5(10x-15)))+(-(-3x1)/(3(18x+21)*5(10x-15)))-5=0
We calculate terms in parentheses: +(5x1/(3(18x+21)*5(10x-15))), so:
5x1/(3(18x+21)*5(10x-15))
We multiply all the terms by the denominator
5x1
We add all the numbers together, and all the variables
5x
Back to the equation:
+(5x)
We calculate terms in parentheses: +(-(-3x1)/(3(18x+21)*5(10x-15))), so:
-(-3x1)/(3(18x+21)*5(10x-15))
We add all the numbers together, and all the variables
-(-3x)/(3(18x+21)*5(10x-15))
We multiply all the terms by the denominator
-(-3x)
We get rid of parentheses
3x
Back to the equation:
+(3x)
We add all the numbers together, and all the variables
8x-5=0
We move all terms containing x to the left, all other terms to the right
8x=5
x=5/8
x=5/8

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