5(x-3)-7(6-x)=24-3(8-x)-2

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Solution for 5(x-3)-7(6-x)=24-3(8-x)-2 equation:



5(x-3)-7(6-x)=24-3(8-x)-2
We move all terms to the left:
5(x-3)-7(6-x)-(24-3(8-x)-2)=0
We add all the numbers together, and all the variables
5(x-3)-7(-1x+6)-(24-3(-1x+8)-2)=0
We multiply parentheses
5x+7x-(24-3(-1x+8)-2)-15-42=0
We calculate terms in parentheses: -(24-3(-1x+8)-2), so:
24-3(-1x+8)-2
determiningTheFunctionDomain -3(-1x+8)+24-2
We add all the numbers together, and all the variables
-3(-1x+8)+22
We multiply parentheses
3x-24+22
We add all the numbers together, and all the variables
3x-2
Back to the equation:
-(3x-2)
We add all the numbers together, and all the variables
12x-(3x-2)-57=0
We get rid of parentheses
12x-3x+2-57=0
We add all the numbers together, and all the variables
9x-55=0
We move all terms containing x to the left, all other terms to the right
9x=55
x=55/9
x=6+1/9

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