5(x-3)+13=4x-3(2-x)

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Solution for 5(x-3)+13=4x-3(2-x) equation: 



5(x-3)+13=4x-3(2-x)

We move all terms to the left:

5(x-3)+13-(4x-3(2-x))=0

We add all the numbers together, and all the variables

5(x-3)-(4x-3(-1x+2))+13=0

We multiply parentheses

5x-(4x-3(-1x+2))-15+13=0



We calculate terms in parentheses: -(4x-3(-1x+2)), so:

4x-3(-1x+2)

We multiply parentheses

4x+3x-6

We add all the numbers together, and all the variables

7x-6

Back to the equation:

-(7x-6)



We add all the numbers together, and all the variables

5x-(7x-6)-2=0

We get rid of parentheses

5x-7x+6-2=0

We add all the numbers together, and all the variables

-2x+4=0

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

-2x=-4

x=-4/-2

x=+2

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