3(x-1)=2(6-x)

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Solution for 3(x-1)=2(6-x) equation: 



3(x-1)=2(6-x)

We move all terms to the left:

3(x-1)-(2(6-x))=0

We add all the numbers together, and all the variables

3(x-1)-(2(-1x+6))=0

We multiply parentheses

3x-(2(-1x+6))-3=0



We calculate terms in parentheses: -(2(-1x+6)), so:

2(-1x+6)

We multiply parentheses

-2x+12

Back to the equation:

-(-2x+12)



We get rid of parentheses

3x+2x-12-3=0

We add all the numbers together, and all the variables

5x-15=0

We move all terms containing x to the left, all other terms to the right

5x=15

x=15/5

x=3

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