2(a-4)=5(-3a+1)

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Solution for 2(a-4)=5(-3a+1) equation: 



2(a-4)=5(-3a+1)

We move all terms to the left:

2(a-4)-(5(-3a+1))=0

We multiply parentheses

2a-(5(-3a+1))-8=0



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

5(-3a+1)

We multiply parentheses

-15a+5

Back to the equation:

-(-15a+5)



We get rid of parentheses

2a+15a-5-8=0

We add all the numbers together, and all the variables

17a-13=0

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

17a=13

a=13/17

a=13/17

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