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

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



4(2-x)=7(x-7)+2
We move all terms to the left:
4(2-x)-(7(x-7)+2)=0
We add all the numbers together, and all the variables
4(-1x+2)-(7(x-7)+2)=0
We multiply parentheses
-4x-(7(x-7)+2)+8=0
We calculate terms in parentheses: -(7(x-7)+2), so:
7(x-7)+2
We multiply parentheses
7x-49+2
We add all the numbers together, and all the variables
7x-47
Back to the equation:
-(7x-47)
We get rid of parentheses
-4x-7x+47+8=0
We add all the numbers together, and all the variables
-11x+55=0
We move all terms containing x to the left, all other terms to the right
-11x=-55
x=-55/-11
x=+5

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