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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

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



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

3(-1x+4)+1

We multiply parentheses

-3x+12+1

We add all the numbers together, and all the variables

-3x+13

Back to the equation:

-(-3x+13)



We add all the numbers together, and all the variables

x-(-3x+13)+3=0

We get rid of parentheses

x+3x-13+3=0

We add all the numbers together, and all the variables

4x-10=0

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

4x=10

x=10/4

x=2+1/2

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