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

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



4(x-2)+5x=2(x+4)-x
We move all terms to the left:
4(x-2)+5x-(2(x+4)-x)=0
We add all the numbers together, and all the variables
5x+4(x-2)-(2(x+4)-x)=0
We multiply parentheses
5x+4x-(2(x+4)-x)-8=0
We calculate terms in parentheses: -(2(x+4)-x), so:
2(x+4)-x
We add all the numbers together, and all the variables
-1x+2(x+4)
We multiply parentheses
-1x+2x+8
We add all the numbers together, and all the variables
x+8
Back to the equation:
-(x+8)
We add all the numbers together, and all the variables
9x-(x+8)-8=0
We get rid of parentheses
9x-x-8-8=0
We add all the numbers together, and all the variables
8x-16=0
We move all terms containing x to the left, all other terms to the right
8x=16
x=16/8
x=2

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