5(x-2)=-2(10-x)+4x

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Solution for 5(x-2)=-2(10-x)+4x equation:



5(x-2)=-2(10-x)+4x
We move all terms to the left:
5(x-2)-(-2(10-x)+4x)=0
We add all the numbers together, and all the variables
5(x-2)-(-2(-1x+10)+4x)=0
We multiply parentheses
5x-(-2(-1x+10)+4x)-10=0
We calculate terms in parentheses: -(-2(-1x+10)+4x), so:
-2(-1x+10)+4x
We add all the numbers together, and all the variables
4x-2(-1x+10)
We multiply parentheses
4x+2x-20
We add all the numbers together, and all the variables
6x-20
Back to the equation:
-(6x-20)
We get rid of parentheses
5x-6x+20-10=0
We add all the numbers together, and all the variables
-1x+10=0
We move all terms containing x to the left, all other terms to the right
-x=-10
x=-10/-1
x=+10

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