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(5x-1)(x-3)-(x-5)(5x-1)=13
We move all terms to the left:
(5x-1)(x-3)-(x-5)(5x-1)-(13)=0
We multiply parentheses ..
(+5x^2-15x-1x+3)-(x-5)(5x-1)-13=0
We get rid of parentheses
5x^2-15x-1x-(x-5)(5x-1)+3-13=0
We multiply parentheses ..
5x^2-(+5x^2-1x-25x+5)-15x-1x+3-13=0
We add all the numbers together, and all the variables
5x^2-(+5x^2-1x-25x+5)-16x-10=0
We get rid of parentheses
5x^2-5x^2+1x+25x-16x-5-10=0
We add all the numbers together, and all the variables
10x-15=0
We move all terms containing x to the left, all other terms to the right
10x=15
x=15/10
x=1+1/2
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