2(x+5)-7=3(4-x)+1

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Solution for 2(x+5)-7=3(4-x)+1 equation: 



2(x+5)-7=3(4-x)+1

We move all terms to the left:

2(x+5)-7-(3(4-x)+1)=0

We add all the numbers together, and all the variables

2(x+5)-(3(-1x+4)+1)-7=0

We multiply parentheses

2x-(3(-1x+4)+1)+10-7=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

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

We get rid of parentheses

2x+3x-13+3=0

We add all the numbers together, and all the variables

5x-10=0

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

5x=10

x=10/5

x=2

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