32(47-5.5x)=14(5x-10)+69.6

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Solution for 32(47-5.5x)=14(5x-10)+69.6 equation:



32(47-5.5x)=14(5x-10)+69.6
We move all terms to the left:
32(47-5.5x)-(14(5x-10)+69.6)=0
We add all the numbers together, and all the variables
32(-5.5x+47)-(14(5x-10)+69.6)=0
We multiply parentheses
-160x-(14(5x-10)+69.6)+1504=0
We calculate terms in parentheses: -(14(5x-10)+69.6), so:
14(5x-10)+69.6
We multiply parentheses
70x-140+69.6
We add all the numbers together, and all the variables
70x-70.4
Back to the equation:
-(70x-70.4)
We get rid of parentheses
-160x-70x+70.4+1504=0
We add all the numbers together, and all the variables
-230x+1574.4=0
We move all terms containing x to the left, all other terms to the right
-230x=-1574.4
x=-1574.4/-230
x=6+81/95.8333333333

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