6-x+3*(4+5x)=x-(7x+2)

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Solution for 6-x+3*(4+5x)=x-(7x+2) equation:



6-x+3(4+5x)=x-(7x+2)
We move all terms to the left:
6-x+3(4+5x)-(x-(7x+2))=0
We add all the numbers together, and all the variables
-x+3(5x+4)-(x-(7x+2))+6=0
We add all the numbers together, and all the variables
-1x+3(5x+4)-(x-(7x+2))+6=0
We multiply parentheses
-1x+15x-(x-(7x+2))+12+6=0
We calculate terms in parentheses: -(x-(7x+2)), so:
x-(7x+2)
We get rid of parentheses
x-7x-2
We add all the numbers together, and all the variables
-6x-2
Back to the equation:
-(-6x-2)
We add all the numbers together, and all the variables
14x-(-6x-2)+18=0
We get rid of parentheses
14x+6x+2+18=0
We add all the numbers together, and all the variables
20x+20=0
We move all terms containing x to the left, all other terms to the right
20x=-20
x=-20/20
x=-1

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