4(x-4)+5(8-x)=7x-(6+2x)

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Solution for 4(x-4)+5(8-x)=7x-(6+2x) equation:



4(x-4)+5(8-x)=7x-(6+2x)
We move all terms to the left:
4(x-4)+5(8-x)-(7x-(6+2x))=0
We add all the numbers together, and all the variables
4(x-4)+5(-1x+8)-(7x-(2x+6))=0
We multiply parentheses
4x-5x-(7x-(2x+6))-16+40=0
We calculate terms in parentheses: -(7x-(2x+6)), so:
7x-(2x+6)
We get rid of parentheses
7x-2x-6
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
-1x-(5x-6)+24=0
We get rid of parentheses
-1x-5x+6+24=0
We add all the numbers together, and all the variables
-6x+30=0
We move all terms containing x to the left, all other terms to the right
-6x=-30
x=-30/-6
x=+5

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