A(x+1)+B(x-2)=7x

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Solution for A(x+1)+B(x-2)=7x equation: 



(A+1)+(A-2)=7A

We move all terms to the left:

(A+1)+(A-2)-(7A)=0

We add all the numbers together, and all the variables

-7A+(A+1)+(A-2)=0

We get rid of parentheses

-7A+A+A+1-2=0

We add all the numbers together, and all the variables

-5A-1=0

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

-5A=1

A=1/-5

A=-1/5

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