3(x-1)+2x=-4(x-3)-6

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Solution for 3(x-1)+2x=-4(x-3)-6 equation:



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

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