30(x-1)=5(6-x)+25x

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Solution for 30(x-1)=5(6-x)+25x equation:



30(x-1)=5(6-x)+25x
We move all terms to the left:
30(x-1)-(5(6-x)+25x)=0
We add all the numbers together, and all the variables
30(x-1)-(5(-1x+6)+25x)=0
We multiply parentheses
30x-(5(-1x+6)+25x)-30=0
We calculate terms in parentheses: -(5(-1x+6)+25x), so:
5(-1x+6)+25x
We add all the numbers together, and all the variables
25x+5(-1x+6)
We multiply parentheses
25x-5x+30
We add all the numbers together, and all the variables
20x+30
Back to the equation:
-(20x+30)
We get rid of parentheses
30x-20x-30-30=0
We add all the numbers together, and all the variables
10x-60=0
We move all terms containing x to the left, all other terms to the right
10x=60
x=60/10
x=6

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