Question

How do you solve `2( a - 3) = 4a - ( 2a - 6)`?

Answer 1

First, simplify
then solve, remembering PEMDAS(parentheses, exponents, multiply, divide, add, subtract) go in order

Explanation:

`2(a-3) = 4a-(2a-6)`

`2a-6=4a-2a+6`

then you combine like terms

`2a-6 =2a+6`

add six to both sides

`2a=2a+12`

since this is not mathematically possible, our equation has no solutions. A given quantity can't be equal to that given quantity plus `12`.

Hope this helps!

Answer 2

No solutions

Explanation:

On the left, we can distribute the `2` and on the right we can distribute the negative sign. We now have

`2a-6=4a-2a+6`

Combining like terms on the right gives us

`2a-6=2a+6`

We cannot subtract six from a value and have it be equal to that value plus `6`, because `-6!=6`.

To further solve this equation, we get

`2a=2a+12`

`a=a+6`

`cancela=cancela+6`

`0!=6`

There are no `a` values that make this equation true.

Hope this helps!