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

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Solution for 3(2x-4)=5(x+3)+(9-2x) equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

6x-(5(x+3)+(-2x+9))-12=0



We calculate terms in parentheses: -(5(x+3)+(-2x+9)), so:

5(x+3)+(-2x+9)

We multiply parentheses

5x+(-2x+9)+15

We get rid of parentheses

5x-2x+9+15

We add all the numbers together, and all the variables

3x+24

Back to the equation:

-(3x+24)



We get rid of parentheses

6x-3x-24-12=0

We add all the numbers together, and all the variables

3x-36=0

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

3x=36

x=36/3

x=12

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