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5(2x-3)-3(3x-5)=4(5-2x)+3(2x+7)
We move all terms to the left:
5(2x-3)-3(3x-5)-(4(5-2x)+3(2x+7))=0
We add all the numbers together, and all the variables
5(2x-3)-3(3x-5)-(4(-2x+5)+3(2x+7))=0
We multiply parentheses
10x-9x-(4(-2x+5)+3(2x+7))-15+15=0
We calculate terms in parentheses: -(4(-2x+5)+3(2x+7)), so:We add all the numbers together, and all the variables
4(-2x+5)+3(2x+7)
We multiply parentheses
-8x+6x+20+21
We add all the numbers together, and all the variables
-2x+41
Back to the equation:
-(-2x+41)
x-(-2x+41)=0
We get rid of parentheses
x+2x-41=0
We add all the numbers together, and all the variables
3x-41=0
We move all terms containing x to the left, all other terms to the right
3x=41
x=41/3
x=13+2/3
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