9x+2/5(10-30x)-11=-1/4(12x-28)

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Solution for 9x+2/5(10-30x)-11=-1/4(12x-28) equation:



9x+2/5(10-30x)-11=-1/4(12x-28)
We move all terms to the left:
9x+2/5(10-30x)-11-(-1/4(12x-28))=0
Domain of the equation: 5(10-30x)!=0
x∈R
Domain of the equation: 4(12x-28))!=0
x∈R
We add all the numbers together, and all the variables
9x+2/5(-30x+10)-(-1/4(12x-28))-11=0
We calculate fractions
9x+(8x1/(5(-30x+10)*4(12x-28)))+(-(-5x0)/(5(-30x+10)*4(12x-28)))-11=0
We calculate terms in parentheses: +(8x1/(5(-30x+10)*4(12x-28))), so:
8x1/(5(-30x+10)*4(12x-28))
We multiply all the terms by the denominator
8x1
We add all the numbers together, and all the variables
8x
Back to the equation:
+(8x)
We calculate terms in parentheses: +(-(-5x0)/(5(-30x+10)*4(12x-28))), so:
-(-5x0)/(5(-30x+10)*4(12x-28))
We add all the numbers together, and all the variables
-(-5x)/(5(-30x+10)*4(12x-28))
We multiply all the terms by the denominator
-(-5x)
We get rid of parentheses
5x
Back to the equation:
+(5x)
We add all the numbers together, and all the variables
22x-11=0
We move all terms containing x to the left, all other terms to the right
22x=11
x=11/22
x=1/2

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