5(2x-2)+x=5(x-3)+9

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Solution for 5(2x-2)+x=5(x-3)+9 equation:



5(2x-2)+x=5(x-3)+9
We move all terms to the left:
5(2x-2)+x-(5(x-3)+9)=0
We add all the numbers together, and all the variables
x+5(2x-2)-(5(x-3)+9)=0
We multiply parentheses
x+10x-(5(x-3)+9)-10=0
We calculate terms in parentheses: -(5(x-3)+9), so:
5(x-3)+9
We multiply parentheses
5x-15+9
We add all the numbers together, and all the variables
5x-6
Back to the equation:
-(5x-6)
We add all the numbers together, and all the variables
11x-(5x-6)-10=0
We get rid of parentheses
11x-5x+6-10=0
We add all the numbers together, and all the variables
6x-4=0
We move all terms containing x to the left, all other terms to the right
6x=4
x=4/6
x=2/3

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