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

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Solution for 5(x-3)+2=3(x-1)-4x equation: 



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

We move all terms to the left:

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

We multiply parentheses

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



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

3(x-1)-4x

We add all the numbers together, and all the variables

-4x+3(x-1)

We multiply parentheses

-4x+3x-3

We add all the numbers together, and all the variables

-1x-3

Back to the equation:

-(-1x-3)



We add all the numbers together, and all the variables

5x-(-1x-3)-13=0

We get rid of parentheses

5x+1x+3-13=0

We add all the numbers together, and all the variables

6x-10=0

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

6x=10

x=10/6

x=1+2/3

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