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

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Solution for 3(x-2)+10=5(x-4)+2x equation:



3(x-2)+10=5(x-4)+2x
We move all terms to the left:
3(x-2)+10-(5(x-4)+2x)=0
We multiply parentheses
3x-(5(x-4)+2x)-6+10=0
We calculate terms in parentheses: -(5(x-4)+2x), so:
5(x-4)+2x
We add all the numbers together, and all the variables
2x+5(x-4)
We multiply parentheses
2x+5x-20
We add all the numbers together, and all the variables
7x-20
Back to the equation:
-(7x-20)
We add all the numbers together, and all the variables
3x-(7x-20)+4=0
We get rid of parentheses
3x-7x+20+4=0
We add all the numbers together, and all the variables
-4x+24=0
We move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4
x=+6

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