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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2x-(3(-1x+5)-(x+1))-10=0



We calculate terms in parentheses: -(3(-1x+5)-(x+1)), so:

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

We multiply parentheses

-3x-(x+1)+15

We get rid of parentheses

-3x-x-1+15

We add all the numbers together, and all the variables

-4x+14

Back to the equation:

-(-4x+14)



We get rid of parentheses

2x+4x-14-10=0

We add all the numbers together, and all the variables

6x-24=0

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

6x=24

x=24/6

x=4

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