2(x-3)-3(1-2x)=3(2-x)-2(5-3x)

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Solution for 2(x-3)-3(1-2x)=3(2-x)-2(5-3x) equation: 



2(x-3)-3(1-2x)=3(2-x)-2(5-3x)

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



We calculate terms in parentheses: -(3(-1x+2)-2(-3x+5)), so:

3(-1x+2)-2(-3x+5)

We multiply parentheses

-3x+6x+6-10

We add all the numbers together, and all the variables

3x-4

Back to the equation:

-(3x-4)



We add all the numbers together, and all the variables

8x-(3x-4)-9=0

We get rid of parentheses

8x-3x+4-9=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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