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22(x-5)-3(3-x)=0.5(x-2)
We move all terms to the left:
22(x-5)-3(3-x)-(0.5(x-2))=0
We add all the numbers together, and all the variables
22(x-5)-3(-1x+3)-(0.5(x-2))=0
We multiply parentheses
22x+3x-(0.5(x-2))-110-9=0
We calculate terms in parentheses: -(0.5(x-2)), so:We add all the numbers together, and all the variables
0.5(x-2)
We multiply parentheses
0.5x-1
Back to the equation:
-(0.5x-1)
25x-(0.5x-1)-119=0
We get rid of parentheses
25x-0.5x+1-119=0
We add all the numbers together, and all the variables
24.5x-118=0
We move all terms containing x to the left, all other terms to the right
24.5x=118
x=118/24.5
x=4+5/6.125
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