5-2(3x+1)=3(2-3x)+6

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Solution for 5-2(3x+1)=3(2-3x)+6 equation:



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

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