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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

5x-(2(-1x+7)-1)-15=0



We calculate terms in parentheses: -(2(-1x+7)-1), so:

2(-1x+7)-1

We multiply parentheses

-2x+14-1

We add all the numbers together, and all the variables

-2x+13

Back to the equation:

-(-2x+13)



We get rid of parentheses

5x+2x-13-15=0

We add all the numbers together, and all the variables

7x-28=0

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

7x=28

x=28/7

x=4

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