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

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



3(x+1)+2x=-2(x-2)+6
We move all terms to the left:
3(x+1)+2x-(-2(x-2)+6)=0
We add all the numbers together, and all the variables
2x+3(x+1)-(-2(x-2)+6)=0
We multiply parentheses
2x+3x-(-2(x-2)+6)+3=0
We calculate terms in parentheses: -(-2(x-2)+6), so:
-2(x-2)+6
We multiply parentheses
-2x+4+6
We add all the numbers together, and all the variables
-2x+10
Back to the equation:
-(-2x+10)
We add all the numbers together, and all the variables
5x-(-2x+10)+3=0
We get rid of parentheses
5x+2x-10+3=0
We add all the numbers together, and all the variables
7x-7=0
We move all terms containing x to the left, all other terms to the right
7x=7
x=7/7
x=1

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