7(x+3)=5(x-4)+x-10

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Solution for 7(x+3)=5(x-4)+x-10 equation:



7(x+3)=5(x-4)+x-10
We move all terms to the left:
7(x+3)-(5(x-4)+x-10)=0
We multiply parentheses
7x-(5(x-4)+x-10)+21=0
We calculate terms in parentheses: -(5(x-4)+x-10), so:
5(x-4)+x-10
We add all the numbers together, and all the variables
x+5(x-4)-10
We multiply parentheses
x+5x-20-10
We add all the numbers together, and all the variables
6x-30
Back to the equation:
-(6x-30)
We get rid of parentheses
7x-6x+30+21=0
We add all the numbers together, and all the variables
x+51=0
We move all terms containing x to the left, all other terms to the right
x=-51

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