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2x+3(x-5)+1=2(2x+1)-3(x-1)
We move all terms to the left:
2x+3(x-5)+1-(2(2x+1)-3(x-1))=0
We multiply parentheses
2x+3x-(2(2x+1)-3(x-1))-15+1=0
We calculate terms in parentheses: -(2(2x+1)-3(x-1)), so:We add all the numbers together, and all the variables
2(2x+1)-3(x-1)
We multiply parentheses
4x-3x+2+3
We add all the numbers together, and all the variables
x+5
Back to the equation:
-(x+5)
5x-(x+5)-14=0
We get rid of parentheses
5x-x-5-14=0
We add all the numbers together, and all the variables
4x-19=0
We move all terms containing x to the left, all other terms to the right
4x=19
x=19/4
x=4+3/4
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