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10(1/2x+2)-5=(x-6)+1
We move all terms to the left:
10(1/2x+2)-5-((x-6)+1)=0
Domain of the equation: 2x+2)!=0We multiply parentheses
x∈R
10x-((x-6)+1)+20-5=0
We calculate terms in parentheses: -((x-6)+1), so:We add all the numbers together, and all the variables
(x-6)+1
We get rid of parentheses
x-6+1
We add all the numbers together, and all the variables
x-5
Back to the equation:
-(x-5)
10x-(x-5)+15=0
We get rid of parentheses
10x-x+5+15=0
We add all the numbers together, and all the variables
9x+20=0
We move all terms containing x to the left, all other terms to the right
9x=-20
x=-20/9
x=-2+2/9
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