2(3x+7)=5(9-2x)+1

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Solution for 2(3x+7)=5(9-2x)+1 equation: 



2(3x+7)=5(9-2x)+1

We move all terms to the left:

2(3x+7)-(5(9-2x)+1)=0

We add all the numbers together, and all the variables

2(3x+7)-(5(-2x+9)+1)=0

We multiply parentheses

6x-(5(-2x+9)+1)+14=0



We calculate terms in parentheses: -(5(-2x+9)+1), so:

5(-2x+9)+1

We multiply parentheses

-10x+45+1

We add all the numbers together, and all the variables

-10x+46

Back to the equation:

-(-10x+46)



We get rid of parentheses

6x+10x-46+14=0

We add all the numbers together, and all the variables

16x-32=0

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

16x=32

x=32/16

x=2

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