2(3x-6)+6(x-5)=-3(3-5x)+5x-15

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Solution for 2(3x-6)+6(x-5)=-3(3-5x)+5x-15 equation:



2(3x-6)+6(x-5)=-3(3-5x)+5x-15
We move all terms to the left:
2(3x-6)+6(x-5)-(-3(3-5x)+5x-15)=0
We add all the numbers together, and all the variables
2(3x-6)+6(x-5)-(-3(-5x+3)+5x-15)=0
We multiply parentheses
6x+6x-(-3(-5x+3)+5x-15)-12-30=0
We calculate terms in parentheses: -(-3(-5x+3)+5x-15), so:
-3(-5x+3)+5x-15
We add all the numbers together, and all the variables
5x-3(-5x+3)-15
We multiply parentheses
5x+15x-9-15
We add all the numbers together, and all the variables
20x-24
Back to the equation:
-(20x-24)
We add all the numbers together, and all the variables
12x-(20x-24)-42=0
We get rid of parentheses
12x-20x+24-42=0
We add all the numbers together, and all the variables
-8x-18=0
We move all terms containing x to the left, all other terms to the right
-8x=18
x=18/-8
x=-2+1/4

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