2(x+5)=2(8-x)-2x

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Solution for 2(x+5)=2(8-x)-2x equation:



2(x+5)=2(8-x)-2x
We move all terms to the left:
2(x+5)-(2(8-x)-2x)=0
We add all the numbers together, and all the variables
2(x+5)-(2(-1x+8)-2x)=0
We multiply parentheses
2x-(2(-1x+8)-2x)+10=0
We calculate terms in parentheses: -(2(-1x+8)-2x), so:
2(-1x+8)-2x
We add all the numbers together, and all the variables
-2x+2(-1x+8)
We multiply parentheses
-2x-2x+16
We add all the numbers together, and all the variables
-4x+16
Back to the equation:
-(-4x+16)
We get rid of parentheses
2x+4x-16+10=0
We add all the numbers together, and all the variables
6x-6=0
We move all terms containing x to the left, all other terms to the right
6x=6
x=6/6
x=1

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