3(2x-6)+6(x-3)=-3(4-5x)+5x-10

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Solution for 3(2x-6)+6(x-3)=-3(4-5x)+5x-10 equation:



3(2x-6)+6(x-3)=-3(4-5x)+5x-10
We move all terms to the left:
3(2x-6)+6(x-3)-(-3(4-5x)+5x-10)=0
We add all the numbers together, and all the variables
3(2x-6)+6(x-3)-(-3(-5x+4)+5x-10)=0
We multiply parentheses
6x+6x-(-3(-5x+4)+5x-10)-18-18=0
We calculate terms in parentheses: -(-3(-5x+4)+5x-10), so:
-3(-5x+4)+5x-10
We add all the numbers together, and all the variables
5x-3(-5x+4)-10
We multiply parentheses
5x+15x-12-10
We add all the numbers together, and all the variables
20x-22
Back to the equation:
-(20x-22)
We add all the numbers together, and all the variables
12x-(20x-22)-36=0
We get rid of parentheses
12x-20x+22-36=0
We add all the numbers together, and all the variables
-8x-14=0
We move all terms containing x to the left, all other terms to the right
-8x=14
x=14/-8
x=-1+3/4

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