2(a-2)+9=-3(a-5)

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Solution for 2(a-2)+9=-3(a-5) equation: 



2(a-2)+9=-3(a-5)

We move all terms to the left:

2(a-2)+9-(-3(a-5))=0

We multiply parentheses

2a-(-3(a-5))-4+9=0



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

-3(a-5)

We multiply parentheses

-3a+15

Back to the equation:

-(-3a+15)



We add all the numbers together, and all the variables

2a-(-3a+15)+5=0

We get rid of parentheses

2a+3a-15+5=0

We add all the numbers together, and all the variables

5a-10=0

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

5a=10

a=10/5

a=2

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