(1+5)(6+1x)=40-2.5(x+1)

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Solution for (1+5)(6+1x)=40-2.5(x+1) equation:



(1+5)(6+1x)=40-2.5(x+1)
We move all terms to the left:
(1+5)(6+1x)-(40-2.5(x+1))=0
We add all the numbers together, and all the variables
6(x+6)-(40-2.5(x+1))=0
We multiply parentheses
6x-(40-2.5(x+1))+36=0
We calculate terms in parentheses: -(40-2.5(x+1)), so:
40-2.5(x+1)
determiningTheFunctionDomain -2.5(x+1)+40
We multiply parentheses
-2.5x-2.5+40
We add all the numbers together, and all the variables
-2.5x+37.5
Back to the equation:
-(-2.5x+37.5)
We get rid of parentheses
6x+2.5x-37.5+36=0
We add all the numbers together, and all the variables
8.5x-1.5=0
We move all terms containing x to the left, all other terms to the right
8.5x=1.5
x=1.5/8.5
x=1/5.6666666666667

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