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

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



5(2-x)+3(x+2)=2(2x+2)-3(2+x)-3
We move all terms to the left:
5(2-x)+3(x+2)-(2(2x+2)-3(2+x)-3)=0
We add all the numbers together, and all the variables
5(-1x+2)+3(x+2)-(2(2x+2)-3(x+2)-3)=0
We multiply parentheses
-5x+3x-(2(2x+2)-3(x+2)-3)+10+6=0
We calculate terms in parentheses: -(2(2x+2)-3(x+2)-3), so:
2(2x+2)-3(x+2)-3
We multiply parentheses
4x-3x+4-6-3
We add all the numbers together, and all the variables
x-5
Back to the equation:
-(x-5)
We add all the numbers together, and all the variables
-2x-(x-5)+16=0
We get rid of parentheses
-2x-x+5+16=0
We add all the numbers together, and all the variables
-3x+21=0
We move all terms containing x to the left, all other terms to the right
-3x=-21
x=-21/-3
x=+7

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