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

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



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

We move all terms to the left:

6(x-3)-(2(5-x))=0

We add all the numbers together, and all the variables

6(x-3)-(2(-1x+5))=0

We multiply parentheses

6x-(2(-1x+5))-18=0



We calculate terms in parentheses: -(2(-1x+5)), so:

2(-1x+5)

We multiply parentheses

-2x+10

Back to the equation:

-(-2x+10)



We get rid of parentheses

6x+2x-10-18=0

We add all the numbers together, and all the variables

8x-28=0

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

8x=28

x=28/8

x=3+1/2

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