3(2x-7)-(5x+2)=5(9-3x)+12

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Solution for 3(2x-7)-(5x+2)=5(9-3x)+12 equation: 



3(2x-7)-(5x+2)=5(9-3x)+12

We move all terms to the left:

3(2x-7)-(5x+2)-(5(9-3x)+12)=0

We add all the numbers together, and all the variables

3(2x-7)-(5x+2)-(5(-3x+9)+12)=0

We multiply parentheses

6x-(5x+2)-(5(-3x+9)+12)-21=0

We get rid of parentheses

6x-5x-(5(-3x+9)+12)-2-21=0



We calculate terms in parentheses: -(5(-3x+9)+12), so:

5(-3x+9)+12

We multiply parentheses

-15x+45+12

We add all the numbers together, and all the variables

-15x+57

Back to the equation:

-(-15x+57)



We add all the numbers together, and all the variables

x-(-15x+57)-23=0

We get rid of parentheses

x+15x-57-23=0

We add all the numbers together, and all the variables

16x-80=0

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

16x=80

x=80/16

x=5

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