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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2x-(3(-1x+5))+12-2=0



We calculate terms in parentheses: -(3(-1x+5)), so:

3(-1x+5)

We multiply parentheses

-3x+15

Back to the equation:

-(-3x+15)



We add all the numbers together, and all the variables

2x-(-3x+15)+10=0

We get rid of parentheses

2x+3x-15+10=0

We add all the numbers together, and all the variables

5x-5=0

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

5x=5

x=5/5

x=1

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