4(x-3)-2x=6(x-5)+8

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Solution for 4(x-3)-2x=6(x-5)+8 equation:



4(x-3)-2x=6(x-5)+8
We move all terms to the left:
4(x-3)-2x-(6(x-5)+8)=0
We add all the numbers together, and all the variables
-2x+4(x-3)-(6(x-5)+8)=0
We multiply parentheses
-2x+4x-(6(x-5)+8)-12=0
We calculate terms in parentheses: -(6(x-5)+8), so:
6(x-5)+8
We multiply parentheses
6x-30+8
We add all the numbers together, and all the variables
6x-22
Back to the equation:
-(6x-22)
We add all the numbers together, and all the variables
2x-(6x-22)-12=0
We get rid of parentheses
2x-6x+22-12=0
We add all the numbers together, and all the variables
-4x+10=0
We move all terms containing x to the left, all other terms to the right
-4x=-10
x=-10/-4
x=2+1/2

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