4(x+2)+3(7-x)=6(x+3)+1

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Solution for 4(x+2)+3(7-x)=6(x+3)+1 equation:



4(x+2)+3(7-x)=6(x+3)+1
We move all terms to the left:
4(x+2)+3(7-x)-(6(x+3)+1)=0
We add all the numbers together, and all the variables
4(x+2)+3(-1x+7)-(6(x+3)+1)=0
We multiply parentheses
4x-3x-(6(x+3)+1)+8+21=0
We calculate terms in parentheses: -(6(x+3)+1), so:
6(x+3)+1
We multiply parentheses
6x+18+1
We add all the numbers together, and all the variables
6x+19
Back to the equation:
-(6x+19)
We add all the numbers together, and all the variables
x-(6x+19)+29=0
We get rid of parentheses
x-6x-19+29=0
We add all the numbers together, and all the variables
-5x+10=0
We move all terms containing x to the left, all other terms to the right
-5x=-10
x=-10/-5
x=+2

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