5(x-7)=11(x-3)+x-23

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Solution for 5(x-7)=11(x-3)+x-23 equation:



5(x-7)=11(x-3)+x-23
We move all terms to the left:
5(x-7)-(11(x-3)+x-23)=0
We multiply parentheses
5x-(11(x-3)+x-23)-35=0
We calculate terms in parentheses: -(11(x-3)+x-23), so:
11(x-3)+x-23
We add all the numbers together, and all the variables
x+11(x-3)-23
We multiply parentheses
x+11x-33-23
We add all the numbers together, and all the variables
12x-56
Back to the equation:
-(12x-56)
We get rid of parentheses
5x-12x+56-35=0
We add all the numbers together, and all the variables
-7x+21=0
We move all terms containing x to the left, all other terms to the right
-7x=-21
x=-21/-7
x=+3

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