3(2x-3)=2(4-3x)+5

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



3(2x-3)=2(4-3x)+5

We move all terms to the left:

3(2x-3)-(2(4-3x)+5)=0

We add all the numbers together, and all the variables

3(2x-3)-(2(-3x+4)+5)=0

We multiply parentheses

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



We calculate terms in parentheses: -(2(-3x+4)+5), so:

2(-3x+4)+5

We multiply parentheses

-6x+8+5

We add all the numbers together, and all the variables

-6x+13

Back to the equation:

-(-6x+13)



We get rid of parentheses

6x+6x-13-9=0

We add all the numbers together, and all the variables

12x-22=0

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

12x=22

x=22/12

x=1+5/6

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