x(2x-3)=2x(x-5)+15

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Solution for x(2x-3)=2x(x-5)+15 equation:



x(2x-3)=2x(x-5)+15
We move all terms to the left:
x(2x-3)-(2x(x-5)+15)=0
We multiply parentheses
2x^2-3x-(2x(x-5)+15)=0
We calculate terms in parentheses: -(2x(x-5)+15), so:
2x(x-5)+15
We multiply parentheses
2x^2-10x+15
Back to the equation:
-(2x^2-10x+15)
We get rid of parentheses
2x^2-2x^2-3x+10x-15=0
We add all the numbers together, and all the variables
7x-15=0
We move all terms containing x to the left, all other terms to the right
7x=15
x=15/7
x=2+1/7

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