a-8=6+5a/3

1 answer

To solve for 'a', we can start by simplifying both sides of the equation:

a - 8 = 6 + (5a/3)

First, multiply through the equation by 3 to get rid of the fraction:

3(a - 8) = 3(6 + (5a/3))

3a - 24 = 18 + 5a

Next, subtract 3a from both sides of the equation:

3a - 24 - 3a = 18 + 5a - 3a

-24 = 18 + 2a

Now, isolate the 'a' term by subtracting 18 from both sides:

-24 - 18 = 18 + 2a - 18

-42 = 2a

Finally, divide both sides of the equation by 2 to solve for 'a':

-42/2 = 2a/2

-21 = a

Therefore, the solution to the equation is a = -21.