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

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Solution for (5x-2)+3(6-x)=4(9-2x)-(3x-6) equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

(5x-2)+3(-1x+6)-(4(-2x+9)-(3x-6))=0

We multiply parentheses

(5x-2)-3x-(4(-2x+9)-(3x-6))+18=0

We get rid of parentheses

5x-3x-(4(-2x+9)-(3x-6))-2+18=0



We calculate terms in parentheses: -(4(-2x+9)-(3x-6)), so:

4(-2x+9)-(3x-6)

We multiply parentheses

-8x-(3x-6)+36

We get rid of parentheses

-8x-3x+6+36

We add all the numbers together, and all the variables

-11x+42

Back to the equation:

-(-11x+42)



We add all the numbers together, and all the variables

2x-(-11x+42)+16=0

We get rid of parentheses

2x+11x-42+16=0

We add all the numbers together, and all the variables

13x-26=0

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

13x=26

x=26/13

x=2

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