Answer:
a = -14
Step-by-step explanation:
We are given
[tex]\frac{2a+38}{5} = 2\\[/tex]
We want to get the variable by itself. First, we can multiply both sides by 5 to get rid of the fraction
[tex]\frac{(2a+38)(5)}{5} = (2)(5)\\2a + 38 = 10[/tex]
Now we can isolate the variable by subtracting 38 from both sides
[tex]2a + 38 - 38 = 10 - 38\\2a = -28\\a = \frac{-28}{2}\\a = -14[/tex]
