10-2(x-5)=12-3(5-x)

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Solution for 10-2(x-5)=12-3(5-x) equation: 



10-2(x-5)=12-3(5-x)

We move all terms to the left:

10-2(x-5)-(12-3(5-x))=0

We add all the numbers together, and all the variables

-2(x-5)-(12-3(-1x+5))+10=0

We multiply parentheses

-2x-(12-3(-1x+5))+10+10=0



We calculate terms in parentheses: -(12-3(-1x+5)), so:

12-3(-1x+5)

determiningTheFunctionDomain
-3(-1x+5)+12

We multiply parentheses

3x-15+12

We add all the numbers together, and all the variables

3x-3

Back to the equation:

-(3x-3)



We add all the numbers together, and all the variables

-2x-(3x-3)+20=0

We get rid of parentheses

-2x-3x+3+20=0

We add all the numbers together, and all the variables

-5x+23=0

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

-5x=-23

x=-23/-5

x=4+3/5

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