Answer :

Step-by-step explanation:

The answer to this is:

Q) -5a - 8 = 2 - 3a

We will first use the transportation method. Transporting -3a to -5a side and -8 to 2 side.

-5a + 3a = 2 + 8

-2a = 10

-a = 10/2

a = -5

Hence, a = -5

Answer:

a = -5

Step-by-step explanation:

In order to solve for a in this equation, we need to move all numbers with a to the same side of the equation. We can do this by:

  • First, add 5a to both sides of the equation (we are able to do this since we are adding the same value on both sides, meaning they are still equal), giving us the resulting equation -8 = 2 + 2a.
  • From here, we need to move the numbers without a to the left side of the equation, so we subtract 2 from both sides to do this (again, we are able to do this since doing the same action to both sides of an equation still means that both sides will be equal), resulting in -10 = 2a.
  • Lastly, we divide both sides by the number next to a, so that we are able to isolate it and give us a value. In this case, we divide both sides by 2, and -10 divided by 2 is -5

Therefore, a = -5.

(Algebraically shown)

[tex]-5a-8=2-3a\\-8=2+2a\\-10=2a\\-5=a[/tex]