3(2x-6)+6(x-4)=-3(4-5x)+5x-20

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Solution for 3(2x-6)+6(x-4)=-3(4-5x)+5x-20 equation:



3(2x-6)+6(x-4)=-3(4-5x)+5x-20
We move all terms to the left:
3(2x-6)+6(x-4)-(-3(4-5x)+5x-20)=0
We add all the numbers together, and all the variables
3(2x-6)+6(x-4)-(-3(-5x+4)+5x-20)=0
We multiply parentheses
6x+6x-(-3(-5x+4)+5x-20)-18-24=0
We calculate terms in parentheses: -(-3(-5x+4)+5x-20), so:
-3(-5x+4)+5x-20
We add all the numbers together, and all the variables
5x-3(-5x+4)-20
We multiply parentheses
5x+15x-12-20
We add all the numbers together, and all the variables
20x-32
Back to the equation:
-(20x-32)
We add all the numbers together, and all the variables
12x-(20x-32)-42=0
We get rid of parentheses
12x-20x+32-42=0
We add all the numbers together, and all the variables
-8x-10=0
We move all terms containing x to the left, all other terms to the right
-8x=10
x=10/-8
x=-1+1/4

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