3(x+4)+4(5-x)=2(x-2)

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Solution for 3(x+4)+4(5-x)=2(x-2) equation:



3(x+4)+4(5-x)=2(x-2)
We move all terms to the left:
3(x+4)+4(5-x)-(2(x-2))=0
We add all the numbers together, and all the variables
3(x+4)+4(-1x+5)-(2(x-2))=0
We multiply parentheses
3x-4x-(2(x-2))+12+20=0
We calculate terms in parentheses: -(2(x-2)), so:
2(x-2)
We multiply parentheses
2x-4
Back to the equation:
-(2x-4)
We add all the numbers together, and all the variables
-1x-(2x-4)+32=0
We get rid of parentheses
-1x-2x+4+32=0
We add all the numbers together, and all the variables
-3x+36=0
We move all terms containing x to the left, all other terms to the right
-3x=-36
x=-36/-3
x=+12

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