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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

x+5x-(3(x-1)+1)-10=0



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

3(x-1)+1

We multiply parentheses

3x-3+1

We add all the numbers together, and all the variables

3x-2

Back to the equation:

-(3x-2)



We add all the numbers together, and all the variables

6x-(3x-2)-10=0

We get rid of parentheses

6x-3x+2-10=0

We add all the numbers together, and all the variables

3x-8=0

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

3x=8

x=8/3

x=2+2/3

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