4(x-3)=5(6-x)+3

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Solution for 4(x-3)=5(6-x)+3 equation: 



4(x-3)=5(6-x)+3

We move all terms to the left:

4(x-3)-(5(6-x)+3)=0

We add all the numbers together, and all the variables

4(x-3)-(5(-1x+6)+3)=0

We multiply parentheses

4x-(5(-1x+6)+3)-12=0



We calculate terms in parentheses: -(5(-1x+6)+3), so:

5(-1x+6)+3

We multiply parentheses

-5x+30+3

We add all the numbers together, and all the variables

-5x+33

Back to the equation:

-(-5x+33)



We get rid of parentheses

4x+5x-33-12=0

We add all the numbers together, and all the variables

9x-45=0

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

9x=45

x=45/9

x=5

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