6(a-5)=-2(a-2)-2

Solution for 6(a-5)=-2(a-2)-2 equation:

6(a-5)=-2(a-2)-2

We move all terms to the left:

6(a-5)-(-2(a-2)-2)=0

We multiply parentheses

6a-(-2(a-2)-2)-30=0


We calculate terms in parentheses: -(-2(a-2)-2), so:

-2(a-2)-2

We multiply parentheses

-2a+4-2

We add all the numbers together, and all the variables

-2a+2

Back to the equation:

-(-2a+2)


We get rid of parentheses

6a+2a-2-30=0

We add all the numbers together, and all the variables

8a-32=0

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

8a=32

a=32/8

a=4