10-4(3x+1)=3(6-3x)-9

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Solution for 10-4(3x+1)=3(6-3x)-9 equation:



10-4(3x+1)=3(6-3x)-9
We move all terms to the left:
10-4(3x+1)-(3(6-3x)-9)=0
We add all the numbers together, and all the variables
-4(3x+1)-(3(-3x+6)-9)+10=0
We multiply parentheses
-12x-(3(-3x+6)-9)-4+10=0
We calculate terms in parentheses: -(3(-3x+6)-9), so:
3(-3x+6)-9
We multiply parentheses
-9x+18-9
We add all the numbers together, and all the variables
-9x+9
Back to the equation:
-(-9x+9)
We add all the numbers together, and all the variables
-12x-(-9x+9)+6=0
We get rid of parentheses
-12x+9x-9+6=0
We add all the numbers together, and all the variables
-3x-3=0
We move all terms containing x to the left, all other terms to the right
-3x=3
x=3/-3
x=-1

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