3(x-2)-2(x-3)=6(x-5)

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



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

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