36(24-5.5x)=13(5x-7)+8.2

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Solution for 36(24-5.5x)=13(5x-7)+8.2 equation:



36(24-5.5x)=13(5x-7)+8.2
We move all terms to the left:
36(24-5.5x)-(13(5x-7)+8.2)=0
We add all the numbers together, and all the variables
36(-5.5x+24)-(13(5x-7)+8.2)=0
We multiply parentheses
-180x-(13(5x-7)+8.2)+864=0
We calculate terms in parentheses: -(13(5x-7)+8.2), so:
13(5x-7)+8.2
We multiply parentheses
65x-91+8.2
We add all the numbers together, and all the variables
65x-82.8
Back to the equation:
-(65x-82.8)
We get rid of parentheses
-180x-65x+82.8+864=0
We add all the numbers together, and all the variables
-245x+946.8=0
We move all terms containing x to the left, all other terms to the right
-245x=-946.8
x=-946.8/-245
x=3+117.66666666667/136.11111111111

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