7(x-2)+2x=5(x+4)-38

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Solution for 7(x-2)+2x=5(x+4)-38 equation:



7(x-2)+2x=5(x+4)-38
We move all terms to the left:
7(x-2)+2x-(5(x+4)-38)=0
We add all the numbers together, and all the variables
2x+7(x-2)-(5(x+4)-38)=0
We multiply parentheses
2x+7x-(5(x+4)-38)-14=0
We calculate terms in parentheses: -(5(x+4)-38), so:
5(x+4)-38
We multiply parentheses
5x+20-38
We add all the numbers together, and all the variables
5x-18
Back to the equation:
-(5x-18)
We add all the numbers together, and all the variables
9x-(5x-18)-14=0
We get rid of parentheses
9x-5x+18-14=0
We add all the numbers together, and all the variables
4x+4=0
We move all terms containing x to the left, all other terms to the right
4x=-4
x=-4/4
x=-1

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