5(2x-1)+3(x-3)=-(4x-6)+2(13-3x)

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Solution for 5(2x-1)+3(x-3)=-(4x-6)+2(13-3x) equation: 



5(2x-1)+3(x-3)=-(4x-6)+2(13-3x)

We move all terms to the left:

5(2x-1)+3(x-3)-(-(4x-6)+2(13-3x))=0

We add all the numbers together, and all the variables

5(2x-1)+3(x-3)-(-(4x-6)+2(-3x+13))=0

We multiply parentheses

10x+3x-(-(4x-6)+2(-3x+13))-5-9=0



We calculate terms in parentheses: -(-(4x-6)+2(-3x+13)), so:

-(4x-6)+2(-3x+13)

We multiply parentheses

-(4x-6)-6x+26

We get rid of parentheses

-4x-6x+6+26

We add all the numbers together, and all the variables

-10x+32

Back to the equation:

-(-10x+32)



We add all the numbers together, and all the variables

13x-(-10x+32)-14=0

We get rid of parentheses

13x+10x-32-14=0

We add all the numbers together, and all the variables

23x-46=0

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

23x=46

x=46/23

x=2

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