3(3a-8)=5(7-a)-3

Solution for 3(3a-8)=5(7-a)-3 equation:

3(3a-8)=5(7-a)-3

We move all terms to the left:

3(3a-8)-(5(7-a)-3)=0

We add all the numbers together, and all the variables

3(3a-8)-(5(-1a+7)-3)=0

We multiply parentheses

9a-(5(-1a+7)-3)-24=0


We calculate terms in parentheses: -(5(-1a+7)-3), so:

5(-1a+7)-3

We multiply parentheses

-5a+35-3

We add all the numbers together, and all the variables

-5a+32

Back to the equation:

-(-5a+32)


We get rid of parentheses

9a+5a-32-24=0

We add all the numbers together, and all the variables

14a-56=0

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

14a=56

a=56/14

a=4