3(x+1)=5(10-x)

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Solution for 3(x+1)=5(10-x) equation:



3(x+1)=5(10-x)
We move all terms to the left:
3(x+1)-(5(10-x))=0
We add all the numbers together, and all the variables
3(x+1)-(5(-1x+10))=0
We multiply parentheses
3x-(5(-1x+10))+3=0
We calculate terms in parentheses: -(5(-1x+10)), so:
5(-1x+10)
We multiply parentheses
-5x+50
Back to the equation:
-(-5x+50)
We get rid of parentheses
3x+5x-50+3=0
We add all the numbers together, and all the variables
8x-47=0
We move all terms containing x to the left, all other terms to the right
8x=47
x=47/8
x=5+7/8

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