2x-5(2-x)=(x-3)+2x+1

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Solution for 2x-5(2-x)=(x-3)+2x+1 equation:



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

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