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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



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

3(-3x+2)-1

We multiply parentheses

-9x+6-1

We add all the numbers together, and all the variables

-9x+5

Back to the equation:

-(-9x+5)



We get rid of parentheses

6x+9x-5+2=0

We add all the numbers together, and all the variables

15x-3=0

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

15x=3

x=3/15

x=1/5

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