3x-4(2-3x)=5(x-3)-53

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Solution for 3x-4(2-3x)=5(x-3)-53 equation: 



3x-4(2-3x)=5(x-3)-53

We move all terms to the left:

3x-4(2-3x)-(5(x-3)-53)=0

We add all the numbers together, and all the variables

3x-4(-3x+2)-(5(x-3)-53)=0

We multiply parentheses

3x+12x-(5(x-3)-53)-8=0



We calculate terms in parentheses: -(5(x-3)-53), so:

5(x-3)-53

We multiply parentheses

5x-15-53

We add all the numbers together, and all the variables

5x-68

Back to the equation:

-(5x-68)



We add all the numbers together, and all the variables

15x-(5x-68)-8=0

We get rid of parentheses

15x-5x+68-8=0

We add all the numbers together, and all the variables

10x+60=0

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

10x=-60

x=-60/10

x=-6

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