3(x+1)=4(6-x)

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Solution for 3(x+1)=4(6-x) equation: 



3(x+1)=4(6-x)

We move all terms to the left:

3(x+1)-(4(6-x))=0

We add all the numbers together, and all the variables

3(x+1)-(4(-1x+6))=0

We multiply parentheses

3x-(4(-1x+6))+3=0



We calculate terms in parentheses: -(4(-1x+6)), so:

4(-1x+6)

We multiply parentheses

-4x+24

Back to the equation:

-(-4x+24)



We get rid of parentheses

3x+4x-24+3=0

We add all the numbers together, and all the variables

7x-21=0

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

7x=21

x=21/7

x=3

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